Mathematics, 12.08.2020 14:01 DASASDAEDWEDA
Find the general solution of the following differential equation. Primes denote derivatives with respect to x.(x+2y)y'=2x-yleft parenthesis x plus 2 y right parenthesis y prime equals 2 x minus y
Answers: 2
![-[ln(x^2-yx-y^2)] = K\\](/tpl/images/0720/6620/62ff1.png)
, this can also be written as; 
![C = -\frac{1}{2}ln(1-v-v^2) - lnx \\\\ -ln(1-v-v^2) - 2lnx = 2C\\\\-[ln(1-v-v^2) + lnx^2] = 2C\\\\-[ln(1-v-v^2)x^2] = 2C\\since\ v = y/x\\\\- [ln(1-y/x-y^2/x^2)x^2] = K\\\\-[ln(x^2-yx-y^2)] = K\\](/tpl/images/0720/6620/a4e4e.png)
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Find the general solution of the following differential equation. Primes denote derivatives with res...
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