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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=2xcos^2(y),y(0)= pi/4

\frac{d y}{d x} = 2 x cos^{2} (y), y (0) = \frac{π}{4}

(x+1)dx+e^ydy=0

(x + 1) d x + e^{y} d y = 0

y^{^{'}} = y - \frac{y ^{2}}{3}

(dy)/(dx)=(1+2y)/(sqrt(4-x^2))

\frac{d y}{d x} = \frac{1 + 2 y}{4 - x ^{2}}

(dy}{dx}=\frac{x^5)/y

\frac{d y}{d x} = \frac{x ^{5}}{y}

Frequently Asked Questions (FAQ)

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