What is the solution for x(dy)/(dx)-y=2x^4y,y(1)=7 ?

The solution for x(dy)/(dx)-y=2x^4y,y(1)=7 is y=7e^{(x^4-1)/2}x

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x(dy)/(dx)-y=2x^4y,y(1)=7

x \frac{d y}{d x} - y = 2 x^{4} y, y (1) = 7

y = 7 e^{\frac{x ^{4} - 1}{2}} x

Solution steps

x \frac{d y}{d x} - y = 2 x^{4} y

Solve separable ODE:

y = 7 e^{\frac{x ^{4} - 1}{2}} x

y = 7 e^{\frac{x ^{4} - 1}{2}} x

\frac{d y}{d x} y^{2} = ln (x)

y^{^{'}} = 1 - 0.4 y

y^{^{'}} = \frac{8 x ^{3} + 1}{3 y ^{2}}

\frac{d y}{d x} = - \frac{0.9}{cos ( y )}, y (0) = \frac{π}{3}

y^{^{'}} = t (1 + \frac{y}{4}), y (1) = 2.4

What is the solution for x(dy)/(dx)-y=2x^4y,y(1)=7 ?
The solution for x(dy)/(dx)-y=2x^4y,y(1)=7 is y=7e^{(x^4-1)/2}x