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Popular >

y^'= y/(x^2+1)

Solution

y^{^{'}} = \frac{y}{x ^{2} + 1}

Solution

y = e^{a r c t a n (x) + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{a r c t a n (x) + c_{1}}

y = e^{a r c t a n (x) + c_{1}}

Popular Examples

y^{''}-3y^'=x^3-6

y^{^{''}} - 3 y^{^{'}} = x^{3} - 6

derivative of 15cos(3x)

\frac{d}{d x} (15 cos (3 x))

derivative of sqrt(x^4-1)

\frac{d}{d x} (x^{4} - 1)

derivative of (3x/(x-2))

\frac{d}{d x} (\frac{3 x}{x - 2})

integral of 1/(16e^{-4x)+e^{4x}}

\int \frac{1}{16 e ^{- 4 x} + e ^{4 x}} d x

Frequently Asked Questions (FAQ)

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