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**Unformatted text preview: **Identify all bifurcation values. (a) dy dt = y 2 + 3 y + a (b) dy dt = y 3 + αy 2 3. Find the general solution to the following differential equations. (a) y = 2 y + 3 e-2 t (b) y =-y + t 3 + sin 3 t (c) y =-y + e t + e-t 4. Solve the given initial value problem using integrating factor. (a) dy dt = 1 t +1 y + 4 t 2 + 4 t, y (1) = 10 (b) dy dt =-2 ty + 4 e-t 2 , y (0) = 3 5. Find the general solution to the following system: dx dt = 2 x, dy dt = 4 y-x 2 . 1...

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- Fall '08
- Staff