Solve y" + 25y = 4t² with y(0) = 0, y'(0) = 0. the following is an expression of the solution as a convolution. Which of %3D %3D

Q: Solve (2x – –10y°) +y=0

A: Given the differential equation          2x-10y3dydx+y=0

Q: Solve the equation dy =- 3y + 5x, yci)=4 2

A: The general solution of the differential equation is, y = x³ + c/x² , where c is the constant of…

Q: 4.x?y³. dx = xyt + 2 4x2,3 dy 4

A:

Q: Which of the following functions is a solution of the exact equation? (6x + 4y)dx + 4xdy= 0.

A:

Q: solve only   2 and 3

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Solve step by step in digital format Solve for Ricatti dy dx = -2-y + y² answer y =,2 + 1 ce-3x_…

A:

Q: x°+3x Find y". y 3= %3D

A: Given function: Simplifying:

Q: v2,

A: We use Pythagoras theorem

Q: d'y : Solve dy +4dy +3y=e* dx dx

A:

Q: Determine if the following equation is exact. If it is, solve it:(3x^2y + y^3)dx + (x^3 + 3xy^2)dy =…

A: Step 1: Given first - order differential equation is: (3x2y+y3)dx+(x3+3xy2)dy=0we have to find…

Q: Solve the initial value

A: Given, 2(y-1)dy=(4x2+5x-1)dx, y(0)=2

Q: Solve xy'(2y - 1) = y(1 - x)

A:

Q: B) Solve the following 3x -dx (x + 5)(2x - 1)

A: Topic = Integration

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.