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Popular >

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

Solution

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

Solution

y = tan (x^{2} + c_{1})

Solution steps

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

Solve separable ODE:

y = tan (x^{2} + c_{1})

y = tan (x^{2} + c_{1})

Popular Examples

limit as x approaches 2-of x+2

x \to 2 - lim (x + 2)

derivative of ln(x+1-1/(x+1))

\frac{d}{d x} (ln (x + 1) - \frac{1}{x + 1})

integral of 1/(5+x)

\int \frac{1}{5 + x} d x

sin(2x)dx+cos(5y)dy=0,y(pi/2)= pi/5

sin (2 x) d x + cos (5 y) d y = 0, y (\frac{π}{2}) = \frac{π}{5}

y^{''''}+20y^{''}+100y=0

y^{^{''''}} + 20 y^{^{''}} + 100 y = 0

Frequently Asked Questions (FAQ)

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