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Popular >

(dy)/(dx)-y/x =6xe^x

Solution

\frac{d y}{d x} - \frac{y}{x} = 6 x e^{x}

Solution

y = 6 e^{x} x + c_{1} x

Solution steps

\frac{d y}{d x} - \frac{y}{x} = 6 x e^{x}

Solve linear ODE:

y = 6 e^{x} x + c_{1} x

y = 6 e^{x} x + c_{1} x

Popular Examples

y^{''}+4y^'+4y=t^{-2}e^{-2t}

y^{^{''}} + 4 y^{^{'}} + 4 y = t^{- 2} e^{- 2 t}

derivative of tan(sqrt(x^2-1))

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

y^{''}-y^'-20y=0

y^{^{''}} - y^{^{'}} - 20 y = 0

(d^2)/(dx^2)(3x-4x^{9/10})

\frac{d ^{2}}{d x ^{2}} (3 x - 4 x^{\frac{9}{10}})

implicit (dy)/(dx),e^y=x+y implicit derivative

\frac{d y}{d x}, e^{y} = x + y

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-y/x =6xe^x ?
The solution for (dy)/(dx)-y/x =6xe^x is y=6e^xx+c_{1}x