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Popular >

(dy)/(dx)=a(y^2+1)

Solution

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

Solution

y = tan (a x + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (a x + c_{1})

y = tan (a x + c_{1})

Graph

Popular Examples

derivative of (x^2/(1-x^2))

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

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

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

inverse oflaplace (e^{-s})/(s-5)inverse laplace

\frac{e ^{- s}}{s - 5}

derivative of ((x-1^2)/(x^2))

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

limit as x approaches 0 of e^{2x}+10x

x \to 0 lim (e^{2 x} + 10 x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=a(y^2+1) ?
The solution for (dy)/(dx)=a(y^2+1) is y=tan(ax+c_{1})