Differential Equations Trouble

[TheSpaceGuy]

Homework Statement

Verify that each given function is a solution of the differential equation.
1. ty' - y = t^2 ; y = 3t + t^2

2. y'' + y = sect , 0<t<pi/2 ; y = (cost)ln( cost ) + tsint

The Attempt at a Solution

int (tdy) = int(t^2 + y)dt
which isn't y=3t + t^2

For the second part I'm not sure where to go. Thanks for the help guys.

 

[King Tony]

It just looks like you need to take the given solution and plug it into the differential equation to "test" if it is true.

 

[TheSpaceGuy]

It just looks like you need to take the given solution and plug it into the differential equation to "test" if it is true.

You are correct sir. I misinterpreted the question it seems. Thanks for the save!

 

[Mark44]

When a problem says "verify that such and such is a solution" they are in essence telling you the answer, and just asking for you check it.