What is the solution for 1/(x^2)(dy)/(dx)=25+14y ?

The solution for 1/(x^2)(dy)/(dx)=25+14y is y=(e^{(14x^3+c_{1})/3})/(14)-25/14

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1/(x^2)(dy)/(dx)=25+14y

\frac{1}{x ^{2}} \frac{d y}{d x} = 25 + 14 y

y = \frac{e ^{\frac{14 x ^{3} + c _{1}}{3}}}{14} - \frac{25}{14}

Solution steps

\frac{1}{x ^{2}} \frac{d y}{d x} = 25 + 14 y

Solve separable ODE:

y = \frac{e ^{\frac{14 x ^{3} + c _{1}}{3}}}{14} - \frac{25}{14}

y = \frac{e ^{\frac{14 x ^{3} + c _{1}}{3}}}{14} - \frac{25}{14}

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\frac{d}{d x} ((1 + 3 x)^{2})

What is the solution for 1/(x^2)(dy)/(dx)=25+14y ?
The solution for 1/(x^2)(dy)/(dx)=25+14y is y=(e^{(14x^3+c_{1})/3})/(14)-25/14