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Popular >

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

Solution

y^{2} + x^{2} \frac{d y}{d x} = 0

Solution

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

Solution steps

y^{2} + x^{2} \frac{d y}{d x} = 0

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)+xe^y=0

\frac{d y}{d x} + x e^{y} = 0

y^{^{'}} + (x + 7) y = 0

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

\frac{d y}{d x} = \frac{x + 3 x ^{2}}{y ^{2}}

ydx+(1+x^2)arctan(x)dy=0

y d x + (1 + x^{2}) arctan (x) d y = 0

y^'cos(x)+(3y-1)sec(x)=0,y(1/4 pi)= 4/3

y^{^{'}} cos (x) + (3 y - 1) sec (x) = 0, y (\frac{1}{4} π) = \frac{4}{3}

Frequently Asked Questions (FAQ)

What is the solution for y^2+x^2(dy)/(dx)=0 ?
The solution for y^2+x^2(dy)/(dx)=0 is y=-x/(1+c_{1)x}