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Popular >

(dy)/(dx)=ky^2

Solution

\frac{d y}{d x} = k y^{2}

Solution

y = - \frac{1}{k x + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{k x + c _{1}}

y = - \frac{1}{k x + c _{1}}

Popular Examples

tangent of f(x)=sqrt(2x),(8,4)tangent of

f (x) = 2 x, (8, 4)

integral of y^2e^{xy}+cos(x)

\int y^{2} e^{x y} + cos (x) d x

(\partial)/(\partial y)(1-y^3)

\frac{\partial}{\partial y} (1 - y^{3})

(dy)/(dx)=(1+x)/(sqrt(y))

\frac{d y}{d x} = \frac{1 + x}{y}

limit as x approaches 0 of 7/(x^2+x)-7/x

x \to 0 lim (\frac{7}{x ^{2} + x} - \frac{7}{x})

Frequently Asked Questions (FAQ)

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