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Popular >

y^'-y=e^x

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of y=ln^3(sqrt(a^2+1))derivative of

y = ln^{3} (a^{2} + 1)

area 2x^2+2,(1,3)area

2 x^{2} + 2, (1, 3)

derivative of 1/(cos(2x))

\frac{d}{d x} (\frac{1}{cos ( 2 x )})

integral of x^2sqrt(4-x)

\int x^{2} 4 - x d x

derivative of (9x^3-4ln(x)(7e^x+8x))

\frac{d}{d x} ((9 x^{3} - 4 ln (x)) (7 e^{x} + 8 x))

Frequently Asked Questions (FAQ)

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