Solving differential equations by inspection and etc...

1. Solve the following DE’s, by inspection.

(a) y’= -sin x

2.Verify that the given function is a solution to the DE. Then determine c that satisfies the conditions given.

(a) xy’ = y ; y = cx; y=pie when x = 2

I have no clue how to start these 2 questions,,, Help please!

Thank you.

Re: Solving differential equations by inspection and etc...

a). You're lacking some basic knowledge. Before you start solving differential equations you should know among other things that if y=cos x then dy/ dx = -sin x.

b) Separate the variables.

Re: Solving differential equations by inspection and etc...

Quote:

Originally Posted by

**tjsdndnjs** (a) xy’ = y ; y = cx; y=pie when x = 2

You are about to be visited by Phil, the Prince of Insufficient Light and Ruler of Heck!!!

C'mon! You're in Calculus. It's spelled "pi" darn it all! (Angry)

-Dan