y=X+ Ci ex t %3D

Q: Solve the differential equation: dy x=+(7x – 7)y = 4x³ dx

A: On dividing the given equation both sides by x we get, Hence the given differential equation is of…

Q: Solve the given differential equation by undetermined coefficients. y" + y' = 8 y(x)

A: The solution to this differential equation can be written as the sum of the complimentary solution…

Q: Solve the differential equation of the given function by elimination of arbitrary constants y =…

A: we  need to find the differential equation for the given solution by elimination of arbitrary…

Q: dy + y = ry dr

A: Given differential equation is xdydx+y=xy3 or xy'+y=xy3  First order Bernoulli Ordinary Differential…

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

A:

Q: Solve the differential equation; yy`+ 25x = 0

A: Variable separable differential equation

Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

A: Given :dydx=e5x+4y The formula for integration is ∫enxdx=enxn+c

Q: Solve the differential equation y/ + y = xy³. %3D

A: We are authorized to solve only 1 independent question, please repost remaining questions.…

Q: Solve the given differential equation by separation of variables. dy eY + e dx -5x - y

A: Solve Differential equation by variable separable method

Q: Solve the given differential equation by separation of variables. dN + 6 + N = Nte dt -6 Ce

A:

Q: Solve the given differential equation by undetermined coefficients. y" - y' = -7 y(x) :

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Q: Solve the differential equation dR a(R + 9). dz

A: Given differential equation  dRdx=aR2+9dRR2+9=adx Integrating both sides, we get…

Q: Solve the differential equation. exdy + 4ex y = 3, x > 0 dx

A:

Q: Solve the given differential equation by separation of variables. dy e -7x - y + e dx

A: To solve the given differrntial equation by using separation of variables.

Q: Solve the differential equation xyy = y – 1

A:

Q: Solve the given differential equation by separation of variables. dy 5x +3y dx 1 5x

A: The given differential equation is                                                     dydx=e5x+3y…

Q: Solve the given differential equation by variation of parameters. x?у" - ху' + у %3D 8x y(x) = х> 0

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Q: 1. dy x3 dx 2+y² ||

A: Solve the differential equation

Q: Solve the given differential equation by undetermined y' + y = x2 - 3x y(x) = %3D

A: Consider the differential equation 14y''+y'+y=x2−3x Write the auxiliary equation…

Q: 5. (y2 + yx)dx + x²dy = 0

A:

Q: Solve the differential equation x²y" – y = e¯*.

A: Solution of given equation is given as:

Q: Solve the given differential equation by using an appropriate substitution. x - (1+ x) y = xy² dx

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Q: Solve the differential equation ydx (2x + 1) (da – dy).

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Q: У - 2у+ %3D 1+ x

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Q: 8. x csc ) - y] dæ + xdy = 0

A: Given the differential equation

Q: Tx?+y?)dx + 3xydy

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Q: y= X + Ci ex t C2e 2x

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Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: Solve the given differential equation by undetermined coefficients. y' + y = x² - 4x y(x) =

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Q: Determine the type of differential equation and solve y2dx - x(2x+3y)dy = 0

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Q: Solve the given differential equation by separation of variables. ety dy eУ + е-5x — у dx =

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Q: 1. (x² + 1)dx + x²y²dy = 0 %3D

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Q: Solve the given differential equation. 2xvdv + (v² – 1) dx = 0 %3D

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Q: Solve the differential equation ydx (2x + 1) (dæ – dy).

A:

Q: Find the value of the constant(s) so that the function x (t) = emt is a solution of the Differential…

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Q: solve the differential equation and express final answer with the value of C (3x^2 +y^2) dx + 2xydy…

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Q: Solve the differential equation dy dz (y²z+g²)

A: Given- dy/dx = 1/(y2x+y2) find- Differential equation. note- In solution c is just a constant.

Q: Solve the given differential equation by separation of variables. dP/dt = P - P^2

A: Solve the given differential equation by separation of variables. dP/dt = P - P^2

Q: Solve the given differential equation by separation of variables. dy exy e-Y + e-4x - y xp

A: Given the separation differential equation : exydydx = e-y + e-4x-y exy dydx = e-y + e-4x  .e-yexy…

Q: solve the given differential equation 7. dydx=yx

A: Given:  7 dydx =yx⇒   7 dyy = x dxOn…

Q: Solve the differential equation. xy' + y = 19Vx %3D

A: Given differential equation is xy' + y = 19x

Q: Solve the given differential equation by separation of variables. dy = e5x dx + 6y

A:

Q: Find the General Solution of the given differential equation. Solve (D< + 4)y=sin 3x

A: The given differential equation is D2+4y=sin3x. The auxiliary equation is m2+4=0: m2+4=0m2=-4m=±2i…

Q: x²(y+: x(2y+

A: The differential equation is x2y'=4x2+7xy+2y2. Divide by x2 on both sides, y'=4+7yx+2yx2 Substitute…

Q: xy'y = x + 1

A:

Q: Solve the differential equation below; e* y' = (x + 1) y?

A: This question is related to differential equation.

Q: Solve the differential equation dy 6x dx 9x + 6y

A: topic - differential equations

Q: (2x+ykdx– 3(2x+ y+4)dy=0 1.

A: Note: We are required to answer only the first question, unless specified.

Q: Identify what method is appropriate and solve the solution of the differential equations given. 1…

A: As per guidelines we have to solve one question