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Popular Calculus >

y^'=e^{2x}+y*e^{2x}

Solution

y^{^{'}} = e^{2 x} + y \cdot e^{2 x}

Solution

y = e^{\frac{1}{2} e^{2 x} + c_{1}} - 1

Solution steps

y^{'} (x) = e^{2 x} + y \cdot e^{2 x}

Solve separable ODE:

y = e^{\frac{1}{2} e^{2 x} + c_{1}} - 1

y = e^{\frac{1}{2} e^{2 x} + c_{1}} - 1

Graph

Popular Examples

(dy)/(dx)=(4x)/(y^2)

y^'=(2y^4+2)/(4xy^3)

y^'=y+5,y(0)=11e^x-5

(dy)/(dx)=e^{(6y+7x)},y(0)=15

50y^'+20y^'+y=5000

Frequently Asked Questions (FAQ)

What is the solution for y^'=e^{2x}+y*e^{2x} ?
The solution for y^'=e^{2x}+y*e^{2x} is y=e^{1/2 e^{2x}+c_{1}}-1