The general solution of the differential equation dy/dx = e^ax+by is: (Here C is an arbitrary constant) Option 1: be^-by + ae^ax = C Option 2: -be^-by + ae^ax = C Option 3: ae^-by + be^ax = C Option 4: e^ax + e^by = C

The answer is 'ae^-by + be^ax = C'. View full solution:

Calculus > Differential Equations

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The general solution of the differential equation $\frac{dy}{dx} = e^{ax+by}$ is: (Here C is an arbitrary constant)

$be^{-by} + ae^{ax} = C$

$-be^{-by} + ae^{ax} = C$

$ae^{-by} + be^{ax} = C$

$e^{ax} + e^{by} = C$

✅ Correct Option: 3

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