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(Solved): Solve the given differential equation by using an appropriate substitution: The DE is homogeneous. ...



Solve the given differential equation by using an appropriate substitution: The DE is homogeneous. \[ \frac{d y}{d x}=\frac{y
Solve the given differential equation by using an appropriate substitution: The DE is homogeneous. \[ \frac{d y}{d x}=\frac{y-x}{y+x} \] \[ \ln x^{2}+x^{2}+2 \tan ^{-1} \frac{y}{x}=k \]


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By using the homogeneous rule we can solve. Put y= vx Therfore dydx=v+x(dvdx) Substitute in the given question we get as
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