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Popular >

y^'=k y/x

Solution

y^{^{'}} = k \frac{y}{x}

Solution

y = c_{1} x^{k}

Solution steps

y^{'} (x) = k \frac{y}{x}

Solve separable ODE:

y = c_{1} x^{k}

y = c_{1} x^{k}

Popular Examples

(dy)/(dx)=-9/6 x^2y^6

\frac{d y}{d x} = - \frac{9}{6} x^{2} y^{6}

x - y^{^{'}} = x y

(dy)/(dx)=e^{x-y},y(0)=ln(3)

\frac{d y}{d x} = e^{x - y}, y (0) = ln (3)

15x^2y+3x^3y^'-24y=0,y(1)=1

15 x^{2} y + 3 x^{3} y^{^{'}} - 24 y = 0, y (1) = 1

(dy)/(dx)ysin(x^2)=xsin(y^2)

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

Frequently Asked Questions (FAQ)

What is the solution for y^'=k y/x ?
The solution for y^'=k y/x is y=c_{1}x^k