Hello, It has been over a year since I last did calculus. And I am having trouble with my current calculus course. First here is the question: Solve the given first-order linear equation and verify that your solution indeed satisfies the equation. y' - 2xy = 2xe^x^2 Now I THINK I have the answer: y = e^x^2 ( x^2 + c) But how do I verify? I would think I simply would take the above equation and it's derivative and sub. into the equation y' - 2xy = 2xe^x^2 If that is the case, my problem is this: When I take the derivative of y = e^x^2 ( x^2 + c) I have y' = 2x * e^x^2 + 2x^3 * e^x^2 + 2x * C * e^x^2 How can I verify my answer when there is an unknown constant in my derivative? What am I missing? Any help is appreciated - detailed if possible. Thankyou.