1. show that y (x) = -9x ^-3/2 is a solution to 4x^2 y\" +12xy\'+3y =0 for x=0 2

ID: 2970380 • Letter: 1

Question

1. show that y (x) = -9x ^-3/2 is a solution to 4x^2 y" +12xy'+3y =0 for x=0

2. a) Show that y (t) =3/4+ c/t^2 is a general solution to 2ty' +4y =3

B) What is the actual solution to the following Initial Value Problem?

2ty' +4y =3 y(1)=-4

3. A) Specify, if the given equation is autonomous, linear and homogeneous, linear and non homogeneous, and/or separable: dy/dt =3y +e^7t

B) find its general solution

4. A) Specify, if the given equation is autonomous, linear and homogeneous, linear and non homogeneous, and/or separable: dy/dt = 2y+ cos4t y (0) =1

B) Solve the initial value problem

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