Solve \dfrac{dy}{dx} = xy with y(0) = 2. Then y(1) =

Question

Accepted Answer

2\sqrt{e}

Separate: dy/y = x\,dx \Rightarrow \ln|y| = x^2/2 + C. y(0)=2: \ln 2 = C. So y = 2 e^{x^2/2}. y(1) = 2e^{1/2} = 2\sqrt{e}.

Answer

2\sqrt{e}

Answer

e^{1/2}

Answer

2e

Answer

\sqrt{2e}

Separation of Variables