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Popular Calculus >

(1+x^2)(dy)/(dx)+xy=0

Solution

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

Solution

y = \frac{c _{1}}{1 + x ^{2}}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{1 + x ^{2}}

y = \frac{c _{1}}{1 + x ^{2}}

Graph

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Frequently Asked Questions (FAQ)

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