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Popular >

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

Solution

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

Solution

y = tan (x + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (x + c_{1})

y = tan (x + c_{1})

Popular Examples

derivative of e^{(-x^2/8})

\frac{d}{d x} (e^{\frac{- x ^{2}}{8}})

integral of (ln(x))^4 1/x

\int (ln (x))^{4} \frac{1}{x} d x

integral from 3 to 4 of x/(x^2-1)

\int_{3}^{4} \frac{x}{x ^{2} - 1} d x

integral of 1/((x-3))

\int \frac{1}{( x - 3 )} d x

simplify y/x simplify

\frac{y}{x}

Frequently Asked Questions (FAQ)

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