What is the solution for sqrt(y)dx+(x-6)dy=0,y(7)=9 ?

The solution for sqrt(y)dx+(x-6)dy=0,y(7)=9 is y=(ln^2(x-6))/4-(c_{1}ln(x-6))/2+(c_{1}^2)/4

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sqrt(y)dx+(x-6)dy=0,y(7)=9

y d x + (x - 6) d y = 0, y (7) = 9

y = \frac{ln ^{2} ( x - 6 )}{4} - \frac{c _{1} ln ( x - 6 )}{2} + \frac{c _{1}^{2}}{4}

Solution steps

y d x + (x - 6) d y = 0

Solve separable ODE:

y = \frac{ln ^{2} ( x - 6 )}{4} - \frac{c _{1} ln ( x - 6 )}{2} + \frac{c _{1}^{2}}{4}

y = \frac{ln ^{2} ( x - 6 )}{4} - \frac{c _{1} ln ( x - 6 )}{2} + \frac{c _{1}^{2}}{4}

What is the solution for sqrt(y)dx+(x-6)dy=0,y(7)=9 ?
The solution for sqrt(y)dx+(x-6)dy=0,y(7)=9 is y=(ln^2(x-6))/4-(c_{1}ln(x-6))/2+(c_{1}^2)/4