What is the solution for (100-x^2)(dy)/(dx)=7y ?

The solution for (100-x^2)(dy)/(dx)=7y is y=e^{7/20 (ln(x/(10)+1)-ln(x/(10)-1))+c_{1}}

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(100-x^2)(dy)/(dx)=7y

(100 - x^{2}) \frac{d y}{d x} = 7 y

y = e^{\frac{7}{20} (l n (\frac{x}{10} + 1) - l n (\frac{x}{10} - 1)) + c_{1}}

Solution steps

(100 - x^{2}) \frac{d y}{d x} = 7 y

Solve separable ODE:

y = e^{\frac{7}{20} (l n (\frac{x}{10} + 1) - l n (\frac{x}{10} - 1)) + c_{1}}

y = e^{\frac{7}{20} (l n (\frac{x}{10} + 1) - l n (\frac{x}{10} - 1)) + c_{1}}

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What is the solution for (100-x^2)(dy)/(dx)=7y ?
The solution for (100-x^2)(dy)/(dx)=7y is y=e^{7/20 (ln(x/(10)+1)-ln(x/(10)-1))+c_{1}}