3. Solve y'" + 6 y' + 9 y = 0, y(0) = 5, y'(0) = - 8 %3D %3D y (t)

Q: Solve y" – 3y' – 10y = 0, y(0) = – 1, y'(0) = 16 y(t) =

A:

Q: yy' = x(y)² + 4

A:

Q: 4 3 f(x) = arcsec %3D f'(x) =

A: First simplify the given function than use chain Rule of derivative.

Q: Solve: у" + 5у'" — 2y' - 24у — 42е 5t 2y' — 24у 3D 42e — 2, у'(0) — — 6, у'"(0) —D — 30 | | | y(t) =

A:

Q: Sve SVé -3 dt u = Ve' – 3

A:

Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

A:

Q: y'-(2/x)y=(y^3)/(x^2) find the solution that satisfies y(1)=1

A: The given differential equation is

Q: olve for y' 1. xy'-y=1-y'

A: Given xy'-y=1-y'Now lets take y to RHS and y' to LHS (Left Hand side)⇒xy'+y'=y+1Lets take y' common…

Q: dx² dx 543-5+ y = 0; y(0) = 4y'(0) = 0

A: To solv the following initial value problem.

Q: Solve y'"+ 5y' + 4y = 0, y(0) = - 8, y'(0) = 17 y(t) = %3D

A:

Q: Solve for y. y' = 7x + xy; y = 5 when x= 0 y =

A: We have to solve for y for the given differential equation: y'=7x+xy; y=5 when x=0. Rewriting the…

Q: y' = (4x + y)?

A:

Q: Solve y" – 6y' + 8y = 3e, where y(0) = 1 and y'(0) = 3. %3D

A:

Q: Solve ry + (2r* – 1)y = 4x*e %3D

A: Solving the first order differential equation

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.