2. Solve the initial value problems 2.1 x²y + xy + y = 0, y(1) = 1, y'(1)=2 2.2 x²y"-3xy' + 4y= 0, y(1) = 5, y'(1) = 3 2.3 .x²y" + 3xy' = 0, y(1) = 0, y'(1) = 4

Q: 23. (x+1)(x-2)y' + y = 0, y(1) = −3

A:

Q: 24. y"+ 9y = 0; y(0) = 1, y'(0) = 1

A:

Q: In each of Problems 11 through 14, use Euler's method to find approximate values of the solution of…

A: As per the question we have the following first order differential equation : y' = (4 - ty)/(1 + y2)…

Q: If a(x) = 2 – 8x, what is an equation for a (x)? O A. a-1(x) 2. 8. O B. a '(x) = ?= 2 8 al(z) = ", 으…

A: The given equation for a(x) is: a(x)=2-8x

Q: (x^2)y''-2xy'+2y=0; y(1)=4, y'(1)=7   Find particular solution that satisfies the given condition

A:

Q: 8y'' + 4y' +y = 0 solve for y(0) = 0; y'(0)=1

A: Given differential equation is:8y"+4y'+y=0

Q: 3. Given f(4) = 1, f'(4) = 3, g(4) = -2, g'(4) = -5. %3D %3D If h(x) (2x3+1)f (x) Vxg(x) calculate…

A: Given that, hx=2x3+1fxxgx Differentiating with respect to x we get,…

Q: (2x+1)y' =e", with y(0)=0.

A:

Q: 35. y" - 2y"+y' = 2 - 24e* +40e³x, y(0) = 1, y'(0)=, y"(0) = −²

A:

Q: Solve 5y'" – 28y' + 15y = 0, y(0) = - 4, y'(0) = – 24.4 %3D y(t) =

A: Given: 5y''-28y'+15y=0, y(0)= -4, y'(0)= -24.4

Q: 6. y4y' + 5y = 4e³; y(0) = 2, y' (0) = 7

A:

Q: Perform the indicated operation. (303-j19) (j2-1)

A: