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Popular >

e^xy^'-e^x*y=e^x

Solution

e^{x} y^{^{'}} - e^{x} \cdot y = e^{x}

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

(dy)/(dx)=3ye^x

\frac{d y}{d x} = 3 y e^{x}

derivative of x-y^{10}= derivative of 8

\frac{d}{d x} (x - y^{10}) = \frac{d}{d x} (8)

(dy)/(dx)y=sqrt((2x+3)/(x+1))

\frac{d y}{d x} y = \frac{2 x + 3}{x + 1}

(x+3xy^2)dx+e^{x^2}ydy=0

(x + 3 x y^{2}) d x + e^{x^{2}} y d y = 0

d/(dθ)(r(θ))r(θ)=5-θ^3sin(θ)

\frac{d}{d θ} (r (θ)) r (θ) = 5 - θ^{3} sin (θ)

Frequently Asked Questions (FAQ)

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