What is the solution for (dy)/(dx)=3x^7y-y,y(1)=-9 ?

The solution for (dy)/(dx)=3x^7y-y,y(1)=-9 is y=-9e^{(5+3x^8-8x)/8}

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(dy)/(dx)=3x^7y-y,y(1)=-9

\frac{d y}{d x} = 3 x^{7} y - y, y (1) = - 9

y = - 9 e^{\frac{5 + 3 x ^{8} - 8 x}{8}}

Solution steps

\frac{d y}{d x} = 3 x^{7} y - y

Solve linear ODE:

y = - 9 e^{\frac{5 + 3 x ^{8} - 8 x}{8}}

y = - 9 e^{\frac{5 + 3 x ^{8} - 8 x}{8}}

y^{^{''}} + 4 y^{^{'}} + 4 y = 3 e^{- 2 x}

\int \frac{6 x ^{3} + 4 x ^{2} - 45 x - 33}{x ^{2} - 9} d x

a re a x + 7, 0.5 (x + 7)

\int_{1}^{3} (4 x - x^{2}) d x

\int \frac{1}{x ^{2} + 2 x + 122} d x

What is the solution for (dy)/(dx)=3x^7y-y,y(1)=-9 ?
The solution for (dy)/(dx)=3x^7y-y,y(1)=-9 is y=-9e^{(5+3x^8-8x)/8}