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Popular >

(dy)/(dx)=k*y^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral of sin^5(x)cos^7(x)

\int sin^{5} (x) cos^{7} (x) d x

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

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

integral of sqrt(2m(E-1/2 kx^2))

\int 2 m (E - \frac{1}{2} k x^{2}) d x

derivative of f(x)=-12x^2+400x-3800 derivative of

f (x) = - 12 x^{2} + 400 x - 3800

tangent of 3x-4x^2 tangent of

3 x - 4 x^{2}

Frequently Asked Questions (FAQ)

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