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Popular >

y^'=y*(x+1)

Solution

y^{^{'}} = y \cdot (x + 1)

Solution

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

Solution steps

y^{'} (x) = y \cdot (x + 1)

Solve separable ODE:

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

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

Popular Examples

tangent of x+2sin(x)tangent of

x + 2 sin (x)

derivative of f(x)= x/(x^2+9)derivative of

f (x) = \frac{x}{x ^{2} + 9}

integral from 0 to pi of e^xcos(x)

\int_{0}^{π} e^{x} cos (x) d x

sum from n=0 to infinity of 5/(3^{n-1)}

n = 0 \sum \infty \frac{5}{3 ^{n - 1}}

area x^{1/5},x^{1/2}area

x^{\frac{1}{5}}, x^{\frac{1}{2}}

Frequently Asked Questions (FAQ)

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