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Popular >

y^'=x^2*y+y

Solution

y^{^{'}} = x^{2} \cdot y + y

Solution

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

Solution steps

y^{'} (x) = x^{2} \cdot y + y

Solve separable ODE:

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

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

Popular Examples

limit as x approaches 3 of x^2+2x-7

x \to 3 lim (x^{2} + 2 x - 7)

derivative of f(x)=(x^3+2)(3x^2+1)derivative of

f (x) = (x^{3} + 2) (3 x^{2} + 1)

integral of (x^3)/((3-x^4)^2)

\int \frac{x ^{3}}{( 3 - x ^{4} ) ^{2}} d x

derivative of y=2sin(4x)derivative of

y = 2 sin (4 x)

y^'-8/x y=(y^3)/(x^{11)}

y^{^{'}} - \frac{8}{x} y = \frac{y ^{3}}{x ^{11}}

Frequently Asked Questions (FAQ)

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