What is the solution for (1-x^2)(dy)/(dx)+xy=x ?

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d y}{d x} = e^{x} sin (y)

\frac{d p}{d t} = t^{2} p - 3 p + t^{2} - 3

\frac{( t ^{2} - 12 t + 11 ) d y}{d t} = y

\frac{d x}{d t} = 3 x

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

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