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Popular >

y^'=x^2(1-y)

Solution

y^{^{'}} = x^{2} (1 - y)

Solution

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

Solution steps

y^{'} (x) = x^{2} (1 - y)

Solve separable ODE:

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

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

Graph

Popular Examples

y^'=(cos(14x))/(e^{14y)}

y^{^{'}} = \frac{cos ( 14 x )}{e ^{14 y}}

derivative of ((x)/(sqrt(x^2+1)))

\frac{d}{d x} (\frac{( x )}{x ^{2} + 1})

limit as x approaches x of x

x \to x lim (x)

tangent of y=(5x-1)(4+3x)x,\at x=0 tangent of

y = (5 x - 1) (4 + 3 x) x, at x = 0

sum from n=1 to infinity of 7/(3^n)

n = 1 \sum \infty \frac{7}{3 ^{n}}

Frequently Asked Questions (FAQ)

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