Find the solution of differential equation 4 dx2 +y = sin).

Q: 2 |sin x dy = 0 y Solve cos xdx +|1+-

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Q: Solve the differential equation: sin(2x)cos(y) − sin(y)sin2(x)dy/dx = 0

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Q: Solve the Linear first Order Differential Equation xdy - sin dx

A: See the attachment

Q: Give the general solution of the differential equations.   y" - y' - 6y = sin 2t

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Q: y = C, cos 3x - C sin(-3x)

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Q: The solution of the differential equation=1-x+y-xy is: dx

A: To solve the given differential equation

Q: (3ху2 — у?)dx + (2х?у - 2у)dy - 0

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Q: Solve the differential equation. xy' + y = 4Vx

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Q: Find the solution of the differential equation y"+y' = sin x %3D

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Q: y' = 4x(2y-y)

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Q: Find general solutions of the differential equation  2xyy'=x^2+2y^2

A: To solve:

Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

A:

Q: dy 2. dr 2xy

A: Given : dy/dx - 2xy = ex²

Q: The general solution of the differential equation dz +6y sin 4z is

A: We need to solve the differential equation d2ydx2+6y=sin 4x The solution of this differential…

Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

A:

Q: The solution of the differential equation y" – 2y' = x + sinx

A: we have to solve the given differential equation

Q: Determine the solution to the differential equation given by: (2xy-9x2)dx+(2y+x2+1)dy=0

A: Here,      2xy-9x2dx+2y+x2+1dy=0⇒2xy-9x2+2y+x2+1dydx=0⇒2xy-9x2+2y+x2+1y' =0Here, ∂Mx, y∂y=∂Nx, y∂x.…

Q: Find the complete solution of the differential equation, y' = 2 - cot.

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Q: Solve the differential equation 1.) dy = (y²xe^3-3x²y)dx

A: Please see the below picture for detailed solution.

Q: Find general solutions of the differential equation      2x^2y-x^3y'=y^3

A: 2x2y-x3y'=y3 We need to find the general solutions of the differential equation.

Q: Determine the solution of the differential equation by separating the variable dy ,3x-2y + x²e-2y dx

A: given differential equation dydx=e3x-2y+x2e-2y claim- solve the differential equation by separating…

Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

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Q: 4. xy = x cos( y/x)+y

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Q: Find general solutions of the differential equation    (x^2-1)y'+(x-1)y=1

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Q: 2ydx = (x2 – 1)(dx – dy)

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Q: Find general solutions of the differential equation      y'=y+y^3

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Q: *- 2- 2 - - 2 = 0 dx dx

A: The solution is given below-

Q: Find general solutions of the differential equation          x^3+3y-xy'=0.

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Q: solve the differential equation y′′ + y = 4 cos(2t)

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Q: The general solution of the differential equation 2x(y + 1) dx — у dy is:

A: Given the differential equation: Now,

Q: а) у +у — 1 y' +y = 1

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Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

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Q: Find the general solution of the given differential equation

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Q: The solution of the differential equation y'+=y' is

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Vyy" – 1 = y'

A: Given DE is  √(yy''-1) = y'' ......(1)

Q: 2) (x²y³ + y)dx + (x³y² – x)dy = o

A: (x2y3+y)dx+(x3y2-x)dy=0 this is an exact equation  M(x, y)= x2y3+y N(x, y) = x3y2-x We will evaluate…

Q: The solution of the differential equation y+=y is

A: Given, y'+yx=y2

Q: '+y- y²(cos 2x– sin 2x) = 0

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Q: Solve the differential equation. xy' + y = 7Vx

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Q: y"+4y=x² sin 2 u

A: See the attachment

Q: Find general solutions of the differential equation  x^3y'=x^2y-y^3

A: the given equation is x3y'=x2y-y3 divide the equation by x3 y'=1xy-1x3y3            ...... (1)…

Q: Find the general solution of the differential equation y2y′ = sin 9x

A: Given:          y2y'=sin 9x Where y'=dydx

Q: 1 - 5y. 3D

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Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: Solve the differential equation. 1 dy sec x 2 = ey+3 sin x dx

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Q: Solve (first order linear differential equation): y'-3x2y=ex^3

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Q: Find general solutions of the differential equation  (x^2-y^2)y'=2xy

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Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Find general solutions of the differential equation        2xy'+y^3e^(-2x)=2xy

A: Rewrite the equation. Multiply the equation by 1/y 3 . Let 1/y 2 = t . Differentiate both sides…

Q: Find the solution of differential equation 4º+y = sin dx2

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: