- #1
fsujoseph
- 18
- 0
Homework Statement
Solve the differential equation. -x2(dy/dx) + xy = x2y2 * sin(x)
Homework Equations
None.
The Attempt at a Solution
I first figured out that this was a Bernoulli's equation. I distributed the x2 to make it simpler. From there I divided everything by y2 to get y-2(dy/dx) + (x3/y) = x4sin(x)
From there I let w = 1/y dw=-1/y2 dy and then multiplied through by -1 so dw would fit in.
Now I have dw/dx - wx3 = -x4sin(x)
Then I let P(x) = x3 Mu(x) = eintegral(x^3)
This gave me Mu(x) = e1/4*x^4
My problem is that when you multiply that back into the equation and get to the point where you integrate, there is 3 terms on the right side (a triple integral is what you call it?). I am unsure of how to approach it, I must have done something wrong. The sin(x) is what is different from any Bernoulli's I have done. Thanks