question_answer 1)

Find the equation of a curve passing through the point (0, 0) and whose differential equation is y’ = ex sin x. 

Answer:

Given       Integrating both sides, we get                                ?. (1)       Let             = sin x ex                                     Put in (1),       As curve passing through (0, 0)                          2y = (sin x ? cos x)ex + 1        2y ? 1 = (sin x ? cos x) ex       which is the require curve.