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(Solved): differential equations Solve the following initial-value problem by using integrating factors. ...
differential equations
![Solve the following initial-value problem by using integrating factors.
\[
x y^{\prime}=y-8 x^{3}, y(1)=64
\]
The solution \(](https://media.cheggcdn.com/study/67c/67c3a595-2a09-467c-8211-0706e332e69e/image)
Solve the following initial-value problem by using integrating factors. \[ x y^{\prime}=y-8 x^{3}, y(1)=64 \] The solution \( y(t) \) is given by the following expression: \[ y(t)= \]