Question

solve ode method dy/dt=y^2- ysin(t)+cos(t) with the initial condition y=0.​

Answer 1

Answer:

We multiply both sides of the differential equation by the integrating factor I which is defined as I = e∫ P dx. ⇔ Iy = ∫ IQ dx since d dx (Iy) = I dy dx + IPy by the product rule. As both I and Q are functions involving only x in most of the problems you are likely to meet, ∫ IQ dx can usually be found.

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