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Popular >

x(dy)/(dx)-y=6x^9y

Solution

x \frac{d y}{d x} - y = 6 x^{9} y

Solution

y = e^{\frac{2 x ^{9}}{3} + c_{1}} x

Solution steps

x \frac{d y}{d x} - y = 6 x^{9} y

Solve separable ODE:

y = e^{\frac{2 x ^{9}}{3} + c_{1}} x

y = e^{\frac{2 x ^{9}}{3} + c_{1}} x

Popular Examples

u^'=e^{6\H(t)+9t}

u^{^{'}} = e^{6 H (t) + 9 t}

4y^'+2y=120,y(0)=1

4 y^{^{'}} + 2 y = 120, y (0) = 1

(dy)/(dt)=(6t^2)/(5y)

\frac{d y}{d t} = \frac{6 t ^{2}}{5 y}

((dy)/(dx))/y =5

\frac{\frac{d y}{d x}}{y} = 5

(dy}{dx}=\frac{-x)/y ,y(4)=-3

\frac{d y}{d x} = \frac{- x}{y}, y (4) = - 3

Frequently Asked Questions (FAQ)

What is the solution for x(dy)/(dx)-y=6x^9y ?
The solution for x(dy)/(dx)-y=6x^9y is y=e^{(2x^9)/3+c_{1}}x