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Popular Calculus >

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

Solution

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

Solution

y = e^{\frac{x ^{3}}{3} + 2 x + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{x ^{3}}{3} + 2 x + c_{1}}

y = e^{\frac{x ^{3}}{3} + 2 x + c_{1}}

Graph

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Frequently Asked Questions (FAQ)

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