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Popular >

x(dy)/(dx)=-y

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

(dy)/(dx)=xy^2e^x

\frac{d y}{d x} = x y^{2} e^{x}

(dy}{dx}=\frac{[(x^2)(y^2)])/5

\frac{d y}{d x} = \frac{[ ( x ^{2} ) ( y ^{2} ) ]}{5}

(3y^2x^2+3x^2)dx+(2x^3y)dy=0

(3 y^{2} x^{2} + 3 x^{2}) d x + (2 x^{3} y) d y = 0

y^{^{'}} = 3.2 y - 10 y^{2}

y^'=(x^3)/(y^4)

y^{^{'}} = \frac{x ^{3}}{y ^{4}}

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