Find explicit particular solutions of the initial value problems in Problem dy х. dx - - y = 2x²y, y(1) = 1

Q: Find the explicit particular solution to the initial value problem. dy 2= (x – 2)2; y(2) = 1 dx

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Q: Find the exact solution y to the initial-value problem dy/dx= x y^(1/2), y(1) = 4.

A: It is exact solution to the initial value problem.

Q: , solve the initial value problem.

A: dydx=yln y1+x2

Q: Find the solution to the initial-value problem y" + 4y = 0; y(0) = 0, y'(0) = 1, if the general…

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Q: Find the particular solution for initial value problem.

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Q: 3. Solve the initial-value problem: 2 dy = 2xy + 3y y(1) = dx 1

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Q: (0-2) dy do With initial value problem // (0) = -1 - 2X - = 3 (8-2) seco tano

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Q: Find the particular solution for initial value problem.

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Q: Find an explicit solution of the given initial-value problem. √₁-y² dx - √√₁-x² dy = 0, y(0) = 1/2…

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Q: Find the solution to the initial value problem: dy = 5y dx y(x) = y(1) = 1

A: Introduction The initial value problem is solved using various techniques. In this question, the…

Q: Find an explicit solution of the given initial-value problem. (1 + 1*) dx +t (1 + 4x²) dt = 0, x (1)…

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Q: Solve the initial value problems dy/dx + xy = x, y(0) = -6

A: Now comparing with

Q: Find an explicit solution of the given initial-value problem. x2 dy = y − xy, y(-1) = -3 dx y =

A: We can solve as follows

Q: dy y- 1 dx -1' y(2) = 2

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Q: Find an explicit solution of the given initial-value problem. 1 V1-у? dx - V1-x2 dy — 0, У(0) y =

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Q: dy 2 %3D

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Q: Find the general solution of the first order differential equation dy = 8x +1 and the particular…

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Q: Find an explicit solution of the given initial-value problem. x2 dy=y-xy, y(-1) = -4 dx y =

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Q: In problems 1 throught 10, finda function y =f(x) Satisfying the given differential equation and the…

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Q: 1. Sketch the graph of the solution of the initial value problem. Hint: You are not asked to solve…

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Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

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Q: Find an explicit solution of the given initial-value problem. dx - 3(x² + 1), xG) = 1 dt

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Q: Find an explicit solution of the given initial-value problem. (1 + x*) dy + x(1 + 4y2) dx = 0, y(1)…

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Q: Find explicit particular solutions of the initial value problems in Problem: dy = y cot x, dx y y…

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Q: Find the particular solution for initial value problem.

A: Given a differential equation, dydx=5x+1y-5  initial value y(0)=2

Q: 6. Verify that y(x) = /E+ 9 is a solution of the initial-value dy problem 1 and y(0) = 3. 2y dx ||

A: To verifyy(x)=x+9 is  a solution of the given IVP dydx=12y

Q: Solve the initial-value problem dy/dx+(3/x)y=x^2+x, y(1)=4

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Q: Find an explicit solution of the given initial-value problem. (1 + x²) dy + x(1 + - 4y²) dx = 0,…

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Q: Solve the initial value problems dy/dx = (x + 1/x)2, y(1) = 1

A: The given differential equation is dydx=x+1x2.

Q: Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1)…

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Q: Find explicit particular solutions of the initial value problems in Problem: dy = ye*, y(0) = 2e 19.…

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Q: Solve the initial value problems    dy/dx=(x2+1)/x2 , y(1) = -1

A: The given differential equation  is

Q: Find explicit particular solutions of the initial value problems in Problem dy : бе 2х-у, у(0) %3D0…

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Q: Find an explicit solution of the given initial-value problem. 1 y(4) = 4 y = dy dx = y² x² - - 1

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Q: Solve the initial value problem. 1 dy y cos 0 0 de 2 y +1 , y(x) = 1

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Q: Find an explicit solution of the given initial-value problem. dy_y²_ 1 = y(4) = 4 dx 1 ||

A: The objective of the question is determine solve the differential equation.

Q: Find explicit particular solutions of the initial value problems in Problem 2 dy dx - cos? y, y(4) =…

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Q: Solve the initial value problem. 5μ 2. dy dt 2t sin y. y(1)=- The solution is

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Q: Find explicit particular solutions of the initial value problems in Problem: dy - +1 = 2y, y(1) = 1…

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Q: Find the particular solution for each initial value problem.

A: Given:  2x+3y=dydx; y(0)=1 To Find: Solution of given equation

Q: The solution of the initial value problem: 1 dy X +1 dx 1 for which y(1) = 1 is y

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Q: Solve the initial value problems 1.dy/dx = 2x - 7, y(2) = 0    2. dy/dx = 10 - x, y(0) = -1

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Q: Find an explicit solution of the given initial-value problem. dx dt = 6(x² +1), x( 1 ) = = 1 X =

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Q: Find the particular solution for each initial value problem.

A: Given,xdydx=x2e3xy0=89

Q: Find an explicit solution of the given initial-value problem. x2 * (dy/dx) = y - xy, y(-1) = -5

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Q: 1. Find the solution of the given initial-value problem: dy + 6 + 8y = e, y(0) = y'(0) = 0. di? dy…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Find an explicit solution of the given initial-value problem. dx = dt 8(x²+1), (²)-¹ 1 X=

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Q: Find an explicit solution of the given initial-value problem. y2 - y(4) = 4 x²-1 dy dx

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Q: Find an explicit solution of the given initial-value problem. dy y (2) = 2 %3D dx x2-1

A: An equation which involves the derivative or differential coefficient is called differential…

Q: In Problems 1–22 solve the given differential equation by separation of variables. dv 12 dy 2 dx 9.…

A: Here we have to solve the given differential equation by using separation of variables method.