In my exercise I am stuck in a problem given below: $\ln\left(\frac{dy}{dx} \right) = x-y+1$ Although I could solve it if it was a linear equations. But ln() is a nightmare for me. Can anyone help me to learn this kind of problems? Thank you.
2026-04-01 22:23:14.1775082194
First order nonlinear ordinary differential equations
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Hint: Transform it to exponential form $$\frac{dy}{dx}=e^{x-y+1}=e^x e^{-y+1}$$ and see it is separable.