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Popular >

(dy)/(dx)=(1-x^2)y

Solution

\frac{d y}{d x} = (1 - x^{2}) y

Solution

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

Solution steps

\frac{d y}{d x} = (1 - x^{2}) y

Solve separable ODE:

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

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

Popular Examples

x y^{^{'}} + 9 y = 6 x y

a y^{^{'}} + y b = c

(dy)/(dx)=(x+1)/(y^2),y(1)=0

\frac{d y}{d x} = \frac{x + 1}{y ^{2}}, y (1) = 0

y^'csc(t)=(-y^{21})/(20)

y^{^{'}} csc (t) = \frac{- y ^{21}}{20}

(dp)/(dt)=0.0017p(1-p/(6200))

\frac{d p}{d t} = 0.0017 p (1 - \frac{p}{6200})

Frequently Asked Questions (FAQ)

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