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Popular >

(dy)/(dx)=4ye^x

Solution

\frac{d y}{d x} = 4 y e^{x}

Solution

y = e^{4 e^{x} + c_{1}}

Solution steps

\frac{d y}{d x} = 4 y e^{x}

Solve separable ODE:

y = e^{4 e^{x} + c_{1}}

y = e^{4 e^{x} + c_{1}}

Popular Examples

(\partial)/(\partial x)(ln(9x^2+2y^2+4))

\frac{\partial}{\partial x} (ln (9 x^{2} + 2 y^{2} + 4))

(\partial)/(\partial x)(x+y/z)

\frac{\partial}{\partial x} (x + \frac{y}{z})

y^{''}-8y^'+17y=0

y^{^{''}} - 8 y^{^{'}} + 17 y = 0

3x^2y^'=y^'+5xe^{-y}

3 x^{2} y^{^{'}} = y^{^{'}} + 5 x e^{- y}

area 3x^2,sqrt(1/3 x)area

3 x^{2}, \frac{1}{3} x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=4ye^x ?
The solution for (dy)/(dx)=4ye^x is y=e^{4e^x+c_{1}}