What is the solution for 7x^2y+(dy)/(dx)=4x^2 ?

The solution for 7x^2y+(dy)/(dx)=4x^2 is y=(e^{(-7x^3+c_{1})/3})/(7)+4/7

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7x^2y+(dy)/(dx)=4x^2

7 x^{2} y + \frac{d y}{d x} = 4 x^{2}

y = \frac{e ^{\frac{- 7 x ^{3} + c _{1}}{3}}}{7} + \frac{4}{7}

Solution steps

7 x^{2} y + \frac{d y}{d x} = 4 x^{2}

Solve separable ODE:

y = \frac{e ^{\frac{- 7 x ^{3} + c _{1}}{3}}}{7} + \frac{4}{7}

y = \frac{e ^{\frac{- 7 x ^{3} + c _{1}}{3}}}{7} + \frac{4}{7}

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

k = 0 \sum \infty (1)^{k}

\int \frac{1}{2 x ^{3}} d x

f (x) = 3 - (- 27)

y^{^{''}} + 16 y = t sin (4 t)

What is the solution for 7x^2y+(dy)/(dx)=4x^2 ?
The solution for 7x^2y+(dy)/(dx)=4x^2 is y=(e^{(-7x^3+c_{1})/3})/(7)+4/7