prob2-3

# prob2-3 - Problem 2-3 1 Find the general solution of a y y...

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Problem 2-3 1. Find the general solution of: a. yyx  b. 2 1 y yx x   c. 3 5 ds s dt t  d. tan sin 2 yy x x  e. 3 2 dx y y dy  f. sin yy x k x   2. Solve: a.DE: x yye b.DE: sin x k x   IC:   13 y IC:   00 y 3. A certain first-order linear differential equation has a solution 2 . The associated homogeneous equation has a solution 3 . What is the solution to the differential equation with initial conditions   21 y ? 4. Show that if 1 y and 2 y are particular solutions of the linear equation   yP x yQ x then 12 is a solution of the corresponding homogeneous equation. Also show that the general solution of the nonhomogeneous equation is  11 2 yyc  provided 0  . 5. Prove properties 1 and 2, page45. 6. Find a particular solution by inspection and then find the general solutions a. 0

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## This note was uploaded on 03/27/2012 for the course MAP 3202 taught by Professor Hatim during the Fall '11 term at Valencia.

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prob2-3 - Problem 2-3 1 Find the general solution of a y y...

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