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)

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

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

y = c_{1} 1 + x^{2}

Solution steps

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

Solve separable ODE:

y = c_{1} 1 + x^{2}

y = c_{1} 1 + x^{2}

\int_{2}^{5} 4 - 2 x d x

t \to a lim (ln (t))

\int t (t^{2} + 1)^{7} d t

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

\frac{d}{d x} (\frac{a x + b}{c})

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)