What is the solution for (dy)/(dx)ax^2y=7 ?

The solution for (dy)/(dx)ax^2y=7 is y=sqrt(-(14)/(xa)+c_{1)},y=-sqrt(-(14)/(xa)+c_{1)}

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(dy)/(dx)ax^2y=7

\frac{d y}{d x} a x^{2} y = 7

y = - \frac{14}{x a} + c_{1}, y = - - \frac{14}{x a} + c_{1}

Solution steps

\frac{d y}{d x} a x^{2} y = 7

Solve separable ODE:

y = - \frac{14}{x a} + c_{1}, y = - - \frac{14}{x a} + c_{1}

y = - \frac{14}{x a} + c_{1}, y = - - \frac{14}{x a} + c_{1}

\frac{d z}{d t} = 6 t e^{4 z}

y^{^{'}} - 5 y = 8, e^{5 x} y (0) = 0

\frac{d x}{d t} = 2 x x

8 x \frac{d y}{d x} = - \frac{1}{y ^{3} 1 + x}

\frac{d y}{d t} + e^{t} y = 24 e^{t}

What is the solution for (dy)/(dx)ax^2y=7 ?
The solution for (dy)/(dx)ax^2y=7 is y=sqrt(-(14)/(xa)+c_{1)},y=-sqrt(-(14)/(xa)+c_{1)}