What is the solution for ((x^2+1)dy)/(dx)+7x(y-1)=0 ?

The solution for ((x^2+1)dy)/(dx)+7x(y-1)=0 is y=(c_{1})/((x^2+1)^{7/2)}+1

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((x^2+1)dy)/(dx)+7x(y-1)=0

\frac{( x ^{2} + 1 ) d y}{d x} + 7 x (y - 1) = 0

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{7}{2}}} + 1

Solution steps

\frac{( x ^{2} + 1 ) d y}{d x} + 7 x (y - 1) = 0

Solve separable ODE:

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{7}{2}}} + 1

y = \frac{c _{1}}{( x ^{2} + 1 ) ^{\frac{7}{2}}} + 1

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