What is the solution for x*(dy)/(dx)-y=3x^6y,y(1)=2 ?

The solution for x*(dy)/(dx)-y=3x^6y,y(1)=2 is y=2e^{(x^6-1)/2}x

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x*(dy)/(dx)-y=3x^6y,y(1)=2

x \cdot \frac{d y}{d x} - y = 3 x^{6} y, y (1) = 2

y = 2 e^{\frac{x ^{6} - 1}{2}} x

Solution steps

x \cdot \frac{d y}{d x} - y = 3 x^{6} y

Solve separable ODE:

y = 2 e^{\frac{x ^{6} - 1}{2}} x

y = 2 e^{\frac{x ^{6} - 1}{2}} x

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