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

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 an explicit solution of the given initial-value problem. (1+x¹) dy + x(1 + 4y2) dx = 0, y(1) =…

A: The given differential equation is 1+x4dy+x1+4y2dx=0 and with the initial condition y(1)=0 To find…

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

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Q: Solve the given initial-value problem: dy/dx =(y2 − 1)/(x2 − 1), y(2) = 2

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

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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: Find the particular solution for the initial value problem.

A: Given, ex dydx-exy=x2-1 ;y(0)=42 dydx-y=x2-1ex

Q: Find an explicit solution of the given initial-value problem. dx 4(x + 1), x(7/4) = 1 dt

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Q: Solve the given initial-value problems. xe dx + (y-1)dy =0; y(0) =0

A: Differential equation and solution

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: Find the explicit particular solution of the initial value problem given. dy/dx = ye^9x, y(0) = 10e

A: Given. dy/dx = ye9x  => 1/ydy = e9xdx

Q: dy 2 %3D

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Q: Solve the initial-value problems dy y(1) = 2 dx dy = cos t + 1, dt 2

A: To solve the given initial value problems

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: - (a) Find the solution of the given initial value problem in explicit form: dy y dx y(1) = 1

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Q: Find an explicit solution of the given initial-value problem. dx dt = 7(x² + 1), x(7) = 1 X ||

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Q: Solve the initial value problem dy/dx + 3¤y = f(x), y(0) = 1, f(x) = z²,0 1

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Q: Find an implicit and an explicit solution of the initial value problem: y? – 1 dy x2 – 1' y(2) = 2…

A: Given differential equation: dydx=y2-1x2-1 ,  y(2)=2

Q: dy (x + 1)+ y = In x ;y(1) = 0 %3D

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Q: Find the unique solution of the Attached second-order initial value problem?

A: We have to find solution of given second-order initial value problem.

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 implicit and an explicit solution of the given initial-value problem. dy y – 1 dx x? - 1'…

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Q: Find the particular solution of the differential equation dP − kP dt = 0 that satisfies the initial…

A: the given differential equation is: dP-kPdt=0 the initial condition is: P(0)=P0. we have to find the…

Q: Find an explicit solution of the given initial-value problem. dx = dt = 2(x² +1), x(77) = 1 11 X

A: Given :dxdt=2x2+1xπ4=1

Q: Find the particular solution for initial value problem.

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Q: Solve the given initial-value problem. (x + y)* dx + (2xy + x- 7) dy = 0, y(1) = 1

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Q: Find an explicit solution of the given initial-value problem.     dy/dx= y^2-1/x^2-1  ,y(3) = 3

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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. 2 V1- y? dx - V1- x² dy = 0, y(0) = 2…

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Q: Solve the given initial-value problem. (y2 cos(x) – 3x²y – 4x) dx + (2y sin(x) – x³ + In(y)) dy = 0,…

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

A: The given differential equation  is

Q: Solve the given initial value problem. dy + dx 1 3 xy-3, y(1) = 0 4x

A: Use substitution y^4=v and find integrating factor

Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

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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: Find the solution of the initial value problem. dy y - 2, y(0)=3 dt 1+t

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Q: Find an explicit solution of the given initial-value problem. %3D у — ху, у(-1) %3D —5 dx y = 5C

A: Given differential equation is x2dydx=y−xy ⇒x2dydx=y1−x⇒dyy=1−xx2dx⇒dyy=1x2−xx2dx⇒dyy=1x2−1xdx…

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 an explicit solution of the given initial-value problem. V1- y? dx - V1- x2 dy = 0, y(0) = . y…

A: Solve the following

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

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Q: Find an explicit solution of the given initial-value problem. dy/dx = y2-1/x2-1 , y(8) = 8

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

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

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Q: Find the solution of the initial value problem dy = -y+e'y?, y(-1) = -1 dt

A: We have to find the solution of the initial value problem…

Q: Solve the initial-value problem dy =t, y(0) = 1. dt

A: Given: dydt=t, y0=1 for solving this initial value problem we integrate by variable separable method…