Question: dy/dx= e^2x+y , y(0)=3

using variable seperable

i have solved till ln y = 1/2e^2x+c then i am stuck,would any kind soul help me to further solve it?

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- March 3rd 2011, 09:54 PMsalohcinseahDE Initial Value Problem
Question: dy/dx= e^2x+y , y(0)=3

using variable seperable

i have solved till ln y = 1/2e^2x+c then i am stuck,would any kind soul help me to further solve it? - March 3rd 2011, 10:14 PMpickslides
Is your equation

or ?? - March 3rd 2011, 10:27 PMsalohcinseah
oh it the first 1

- March 3rd 2011, 10:38 PMProve It

.

This is first order linear, so multiplying both sides by the integrating factor gives

.

Now, you know from your initial condition that when , so

.

Therefore the solution is

. - March 3rd 2011, 11:21 PMsalohcinseah
i see thanks