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Popular >

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

Solution

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

Solution

y = \frac{c _{1}}{x}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{x}

y = \frac{c _{1}}{x}

Popular Examples

limit as x approaches 0 of cos(pi)

x \to 0 lim (cos (π))

area x+y=10,(2,8)area

x + y = 10, (2, 8)

integral of (2x^3+x-1)/(x^3+x^2-4x-4)

\int \frac{2 x ^{3} + x - 1}{x ^{3} + x ^{2} - 4 x - 4} d x

integral of (16x+3)sqrt(8x^2+3x)

\int (16 x + 3) 8 x^{2} + 3 x d x

derivative of (x-2(2x+3))

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

Frequently Asked Questions (FAQ)

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