- #1

- 38

- 0

x^2 y'' -3xy' + 13y = 4 + 3x

My work:

Okay, we have

e^2t y'' - 3e^t y' + 13y = 4 + 3e^t.

Now I am absolutely stuck. No idea how to solve it. Help!

- Thread starter hola
- Start date

- #1

- 38

- 0

x^2 y'' -3xy' + 13y = 4 + 3x

My work:

Okay, we have

e^2t y'' - 3e^t y' + 13y = 4 + 3e^t.

Now I am absolutely stuck. No idea how to solve it. Help!

- #2

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 961

Use the chain rule: dy/dx= dy/dt dt/dx. Since x= e

dt/dx= 1/x. That is, dy/dx= (1/x)(dy/dt).

d

Now, x

and -3xy'= -3 dy/dt

so the differential equation is

d

That should be easy to solve!

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