What is the solution for (81-x^2)y^'=7y ?

The solution for (81-x^2)y^'=7y is y=e^{7/18 (ln(x/9+1)-ln(x/9-1))+c_{1}}

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(81-x^2)y^'=7y

(81 - x^{2}) y^{^{'}} = 7 y

y = e^{\frac{7}{18} (l n (\frac{x}{9} + 1) - l n (\frac{x}{9} - 1)) + c_{1}}

Solution steps

(81 - x^{2}) y^{'} (x) = 7 y

Solve separable ODE:

y = e^{\frac{7}{18} (l n (\frac{x}{9} + 1) - l n (\frac{x}{9} - 1)) + c_{1}}

y = e^{\frac{7}{18} (l n (\frac{x}{9} + 1) - l n (\frac{x}{9} - 1)) + c_{1}}

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What is the solution for (81-x^2)y^'=7y ?
The solution for (81-x^2)y^'=7y is y=e^{7/18 (ln(x/9+1)-ln(x/9-1))+c_{1}}