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Popular >

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

Solution

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

Solution

y = \frac{tan ( 2 x + c _{1} )}{2}

Solution steps

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

Solve separable ODE:

y = \frac{tan ( 2 x + c _{1} )}{2}

y = \frac{tan ( 2 x + c _{1} )}{2}

Graph

Popular Examples

integral of-4x(-2x^2+2)^5

\int - 4 x (- 2 x^{2} + 2)^{5} d x

derivative of y=(e^{8x})/(e^{8x)+1}derivative of

y = \frac{e ^{8 x}}{e ^{8 x} + 1}

inverse oflaplace (50)/(100+0.01s)inverse laplace

\frac{50}{100 + 0.01 s}

limit as x approaches 0 of 1/((x+1)^2)

x \to 0 lim (\frac{1}{( x + 1 ) ^{2}})

(e^{x^{2} + 1})^{^{'}}

Frequently Asked Questions (FAQ)

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