1 ) Solve this equation :
2 ) Prove that the function définié by is a particuliere resolution of the equation of form :
réeles of which they ask to calculate .
For this first one you will need to use an integrating factor.
For an equation in the form $\displaystyle y' + P(x)y = Q(x)$, the integrating factor is $\displaystyle e^{\int P(x) dx}$.
You then multiply every term in your equation by this integrating factor.
You should notice something about the terms on the left hand side that makes them easy to integrate, and you just integrate the right hand side by whatever method you see fit.
For more on the integrating factor here's the Wikipedia entry.
Hope this helps