How to solve this problem? dy/dx= 2y, y(1)= 3
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Originally Posted by Abalo How to solve this problem? dy/dx= 2y, y(1)= 3 This is a first order seperable ODE so $\displaystyle \frac{dy}{dx}=2y \iff \frac{dy}{y}=2dx$ Now just integrate both sides to get $\displaystyle \ln|y|=2x+C \iff y=e^{2x+c}\iff y=Ae^{2x}$ Now just use the inital condition to solve for A.
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