What is the solution for (dy)/(dx)=y(5x^2+3) ?

The solution for (dy)/(dx)=y(5x^2+3) is y=e^{(5x^3)/3+3x+c_{1}}

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(dy)/(dx)=y(5x^2+3)

\frac{d y}{d x} = y (5 x^{2} + 3)

y = e^{\frac{5 x ^{3}}{3} + 3 x + c_{1}}

Solution steps

\frac{d y}{d x} = y (5 x^{2} + 3)

Solve separable ODE:

y = e^{\frac{5 x ^{3}}{3} + 3 x + c_{1}}

y = e^{\frac{5 x ^{3}}{3} + 3 x + c_{1}}

\int_{1}^{4} \frac{4}{x ^{2}} d x

x \to 0 + lim (x^{\frac{2}{x}})

h \to 1 lim (4 h^{2})

x^{4} - 18 x^{2} + 81

n = 1 \sum \infty \frac{n}{2 n + 3}

What is the solution for (dy)/(dx)=y(5x^2+3) ?
The solution for (dy)/(dx)=y(5x^2+3) is y=e^{(5x^3)/3+3x+c_{1}}