What is the solution for 2{dy}{dx}=(21x^2)/y ?

The solution for 2{dy}{dx}=(21x^2)/y is y=sqrt(7x^3+c_{1)},y=-sqrt(7x^3+c_{1)}

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2{dy}{dx}=(21x^2)/y

2 {d y} {d x} = \frac{21 x ^{2}}{y}

y = 7 x^{3} + c_{1}, y = - 7 x^{3} + c_{1}

Solution steps

2 {d y} {d x} = \frac{21 x ^{2}}{y}

Solve separable ODE:

y = 7 x^{3} + c_{1}, y = - 7 x^{3} + c_{1}

y = 7 x^{3} + c_{1}, y = - 7 x^{3} + c_{1}

\frac{d}{d x} ((x + a) e^{2 x} + b)

\int 7 16 - 2 x d x

4 x, x^{2} - 5, [- 2.2, 0]

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\frac{d}{d x} (6 x^{2} - 10 x)

What is the solution for 2{dy}{dx}=(21x^2)/y ?
The solution for 2{dy}{dx}=(21x^2)/y is y=sqrt(7x^3+c_{1)},y=-sqrt(7x^3+c_{1)}