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Popular >

(dy)/(dx)=5y+y^2

Solution

\frac{d y}{d x} = 5 y + y^{2}

Solution

y = \frac{5}{e ^{- 5 x - c_{1}} - 1}

Solution steps

\frac{d y}{d x} = 5 y + y^{2}

Solve Bernoulli ODE:

y = \frac{5}{e ^{- 5 x - c_{1}} - 1}

y = \frac{5}{e ^{- 5 x - c_{1}} - 1}

Popular Examples

tangent of f(x)=sin(x)+1/2 e^x tangent of

f (x) = sin (x) + \frac{1}{2} e^{x}

integral of sin(3θ)cos(2θ)

\int sin (3 θ) cos (2 θ) d θ

(dy)/(dx)=(3sec(y))/((x+5)^2)

\frac{d y}{d x} = \frac{3 sec ( y )}{( x + 5 ) ^{2}}

derivative of f(u)= u/(u+a/u)derivative of

f (u) = \frac{u}{u + \frac{a}{u}}

y^'=-x(y+1),y(0)=2

y^{^{'}} = - x (y + 1), y (0) = 2

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5y+y^2 ?
The solution for (dy)/(dx)=5y+y^2 is y= 5/(e^{-5x-c_{1)}-1}