What is the solution for 2x(dy)/(dx)+(1-x)(dy)/(dx)-2y=0 ?

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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

\frac{d P}{d t} = 2 Pt, P (1) = 5

\frac{d P}{d t} = 2 Pt, P (1) = 6

\frac{d P}{d t} = 2 Pt, P (1) = 3

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

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