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Popular Calculus >

e^y(dy)/(dx)=10e^{20x}

Solution

e^{y} \frac{d y}{d x} = 10 e^{20 x}

Solution

y = ln (\frac{1}{2} e^{20 x} + c_{1})

Solution steps

e^{y} \frac{d y}{d x} = 10 e^{20 x}

Solve separable ODE:

y = ln (\frac{1}{2} e^{20 x} + c_{1})

y = ln (\frac{1}{2} e^{20 x} + c_{1})

Graph

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Frequently Asked Questions (FAQ)

What is the solution for e^y(dy)/(dx)=10e^{20x} ?
The solution for e^y(dy)/(dx)=10e^{20x} is y=ln(1/2 e^{20x}+c_{1})