- #1
twoski
- 181
- 2
Homework Statement
1. y" + y = tanx, solve this DE.
2. dP/dt = P(1 - P) where P = (c1et / 1 + c1et), verify that P is a solution to this DE.
3. Given the pair of functionsx and y, show they solve this system:
dx/dt = x + 3y
dy/dt = 5x+3y
x = e-2t + 3e6t
y = -e-2t + 5e6t
The Attempt at a Solution
For 1, we want to get x and y on the left and right hand sides of the equation so we can integrate i think.
so we go
dy/dx + y = tanx
dy + ydy = tanxdx
∫dy + ∫ydy = ∫tanxdx (is this right?)
For 2, the equation is not quite in standard form (dy/dx + P(x)y = f(x)), but it doesn't look like we can achieve this form. How do you proceed?
For 3, I'm not even sure how to solve it. There aren't any examples in this format...