dy 6x²y² for y + 0

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: 2. y Inxlny da + dy = 0

A:

Q: Find the solution of the differential equation (1+x² )y'+2.xy – 4x²y' = 0 (Bernoulli)

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Q: Solve the differential equation. 5. y (2xy^2 – 3) dx + ( 3x^2y^2 – 3x + 4y) dy = 0

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Q: Solve the differential equation y" + 5y' + 6y = 0.

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Q: Solve the differential equation d2y/dx2 − 2dy/dx + 4y = exsin2(x/2).

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Q: Find general solutions of the differential equation    x^2y'+2xy=5y^4

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Q: Solve the differential equation y' =7x - 4 y Using Runge-Kutt

A: Given,            y'=7x2-4y,   x=0.1, 0.2, 0.3,  . . . , 0.8

Q: Solve the differential equation: a²y" + 2æy' – 6y = x³

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Q: Solve the differential equation y" + 16y 2cos z.

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Q: Solve the differential equation. y" +6y' +5y= 2e¯* +10e³x

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Q: y" – 10y' + 34y = 3x² + x –1

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Q: Find the complete solution of the differential equation d²y dy +6- + 9y = 5x2 -3 dx dx2

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Q: Solve the differential equation (D2+5D+4)y=2 sn ax

A: The given differential equation is   (D2+5D+4)y=2 sin(ax)

Q: Solve the differential equation y" – 4y' + 4y = %3D -

A: Given that a differential equation : y" - 4y' + 4y = e2x/x.  Here i attached solution of this…

Q: 3. Get the general solution of the differential equation (x+2y-4)dx- (2x+y-5)dy%3D0.

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Q: Solve the differential equation by linear method dy 4 -2(x+1)* dx (x +1)

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Q: Solve the differential equation: dy X+ (4x – 7)y = 2x° %3D |

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Q: A particular solution of the differential equation y''+3y'+2y=4x+3 is:

A: Solving the differential equation

Q: Solve for the differential equation: (2y^2+4yx^2)dx+(4xy+3x^3)dy=0

A:

Q: dy = 7xVy for y + 0

A: The solution is given as

Q: Solve the differential equation dy 2xy +3y – 4x – 6 by variable separable method dx

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Q: dy - = 6x(y-1)3

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Q: Solve the differential equation dy 2y3 dx yx? + y3

A: Given:            dydx=2y3yx2+y3

Q: Solve the differential equation y" +6y' +12y=0.

A:

Q: Solve the differential equation: y" – 4y' + 4y =22 e2x -

A: General solution y(x) =(c1 +c2x)e2x+11x2e2x

Q: y+2y)dx+(xy²+8j"-4x)dy=0

A:

Q: 5. Find a general solution of the differential equation: y" + 4y' = 2x – 1

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Q: (D³ – 3D² – 3D + 1)y = 0

A: To find out the solution of the differential equation.

Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

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Q: Solve the differential equation: dy/dx=-8y with the initial condition of y(0) =3

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Q: Find general solutions of the differential equation     x^2y'+2xy=5y^3

A: Given Data The differential equation is x²y'+2xy=5y3.   Divide the differential equation by y3 and…

Q: Solve the differential equation: y''+4y = 0

A: Solve the differential equation: y''+4y = 0

Q: dy 3(1+x2)=2ry(y3-1)

A:

Q: Solve the differential equation y' + 5y = 6y²

A: We have to use variable separation method here.

Q: (D³ + 3D² – 4)y = 0 |

A: (D3+3D2-4)y=0

Q: Solve for the particular solution yp of the given differential equation: y" + 3y' + 4y = 4x2 — 2х -

A: Given differential equation, y''+3y'+4y=4x2-2x⇒(D2+3D+4)y=4x2-2x          D≡ddx.............(i)

Q: Find the general solution of the differential equation r*y" – 2ry/ = 6 In x. -

A:

Q: Solve the differential equation dy + ry = a; y(0) = -6. dr

A: Given : dydx+xy=x   and  y(0)=-6. Therefore,    dydx+xy=x⇒dydx=x1-y⇒dy1-y=x.dx...............(1)

Q: yll + 2y1 + 2y = 0

A: We solve it letting a trial solution.

Q: dy 13. :- xy = x, y(0) = 3 dx

A: The given differential equation is dydx-xy=x where y0=3. Rewrite dydx-xy=x in separable form as…

Q: The solution of the differential equation (x³ + 3xy²)dx+ (y³ + 3x?y)dy= 0 is

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Q: dy 2 dx x2+4

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Q: Solve the differential equation y" – 5y/ + 6y = e2«

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Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: Solve the differential equation y" – 4y" + 4y' = 4.xe2ª.

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.