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Popular >

x(dy)/(dx)=y

Solution

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

Solution

y = c_{1} x

Solution steps

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

Solve separable ODE:

y = c_{1} x

y = c_{1} x

Popular Examples

xdy=y+x(cos(y/x))^2dx

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

derivative of 2x^3+3x^2-12x+1 derivative of

2 x^{3} + 3 x^{2} - 12 x + 1

limit as x approaches 0+of x-1/x+3

x \to 0 + lim (x - \frac{1}{x} + 3)

integral of (x^2-3)/((x+1)^3)

\int \frac{x ^{2} - 3}{( x + 1 ) ^{3}} d x

y^{''}-6y^'+25y=3t-2cos(5t)

y^{^{''}} - 6 y^{^{'}} + 25 y = 3 t - 2 cos (5 t)

Frequently Asked Questions (FAQ)

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