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Popular >

(dy)/(dx)= y/x ,x>0

Solution

\frac{d y}{d x} = \frac{y}{x}, x > 0

Solution

y = c_{1} x

Solution steps

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

Solve separable ODE:

y = c_{1} x

y = c_{1} x

Graph

Popular Examples

(ydy)/(sqrt(1-y^2))=(dx)/((1+x^2))

\frac{y d y}{1 - y ^{2}} = \frac{d x}{( 1 + x ^{2} )}

(dy)/(dx)-4/x y=0

\frac{d y}{d x} - \frac{4}{x} y = 0

x y^{^{'}} - x^{2} y = 0

e^x(dy)/(dx)=sec(y)

e^{x} \frac{d y}{d x} = sec (y)

(dy)/(dt)=(2t+1)/(2y-2)

\frac{d y}{d t} = \frac{2 t + 1}{2 y - 2}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= y/x ,x>0 ?
The solution for (dy)/(dx)= y/x ,x>0 is y=c_{1}x