What is the solution for (dy)/(dx)=y(4x^2+3) ?

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

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(dy)/(dx)=y(4x^2+3)

\frac{d y}{d x} = y (4 x^{2} + 3)

y = e^{\frac{4 x ^{3}}{3} + 3 x + c_{1}}

Solution steps

\frac{d y}{d x} = y (4 x^{2} + 3)

Solve separable ODE:

y = e^{\frac{4 x ^{3}}{3} + 3 x + c_{1}}

y = e^{\frac{4 x ^{3}}{3} + 3 x + c_{1}}

\frac{d y}{d x} = e^{2 x - y}, y (0) = 0

d y = x (2 y d x - x d y), y (2) = 3

\frac{d y}{d x} = y (4 x^{2} + 5)

x^{^{'}} = (x)^{4 (1) + 2} (ln (t) + (0 + 2) t e^{t})

\frac{x}{y} d x + \frac{y}{x} d y = 0

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