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(Solved): Problem 6 Find a differential operator \( \Phi \) and a function \( t \) so that the differential e ...




Problem 6 Find a differential operator \( \Phi \) and a function \( t \) so that the differential equation
\[
y y^{\prime}=x\
Problem 6 Find a differential operator \( \Phi \) and a function \( t \) so that the differential equation \[ y y^{\prime}=x\left(y^{2}+1\right) . \] is equivalent to the problem \( \Phi(y)=t \).


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Solution : - A possible differential operator is
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