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Popular >

y^'=5x-y

Solution

y^{^{'}} = 5 x - y

Solution

y = 5 (x - 1) + \frac{c _{1}}{e ^{x}}

Solution steps

y^{'} (x) = 5 x - y

Solve linear ODE:

y = 5 (x - 1) + \frac{c _{1}}{e ^{x}}

y = 5 (x - 1) + \frac{c _{1}}{e ^{x}}

Popular Examples

integral of 15+(200)/(x+1)

\int 15 + \frac{200}{x + 1} d x

d/(dt)(sin(8t))

\frac{d}{d t} (sin (8 t))

derivative of (x/2 ^{2/3})

\frac{d}{d x} ((\frac{x}{2})^{\frac{2}{3}})

derivative of xy^2-x^3y

\frac{d}{d x} (x y^{2} - x^{3} y)

integral of x^3(1-x^2)^{3/2}

\int x^{3} (1 - x^{2})^{\frac{3}{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=5x-y ?
The solution for y^'=5x-y is y=5(x-1)+(c_{1})/(e^x)