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Popular >

(dy)/(dx)=4+y^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

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

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

(dy)/(dx)-2y=y,y=1,x=-1

\frac{d y}{d x} - 2 y = y, y = 1, x = - 1

y^{^{'}} = y e^{x} + y

(x - 1) y^{^{'}} + y = 0

y^'=(xsqrt(x^2-1))/y ,y(-1)=1

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

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=4+y^2 ?
The solution for (dy)/(dx)=4+y^2 is y=2tan(2x+c_{1})