What is the solution for -10x^2y+(dy)/(dx)=-7x^2 ?

The solution for -10x^2y+(dy)/(dx)=-7x^2 is y=(e^{(10x^3+c_{1})/3})/(10)+7/10

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-10x^2y+(dy)/(dx)=-7x^2

- 10 x^{2} y + \frac{d y}{d x} = - 7 x^{2}

y = \frac{e ^{\frac{10 x ^{3} + c _{1}}{3}}}{10} + \frac{7}{10}

Solution steps

- 10 x^{2} y + \frac{d y}{d x} = - 7 x^{2}

Solve separable ODE:

y = \frac{e ^{\frac{10 x ^{3} + c _{1}}{3}}}{10} + \frac{7}{10}

y = \frac{e ^{\frac{10 x ^{3} + c _{1}}{3}}}{10} + \frac{7}{10}

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What is the solution for -10x^2y+(dy)/(dx)=-7x^2 ?
The solution for -10x^2y+(dy)/(dx)=-7x^2 is y=(e^{(10x^3+c_{1})/3})/(10)+7/10