show that y’’-(2/t)y’+(2/t^2)y = y((d/dt)-1/t)^2 [closed]
Solution 1:
Hint... $$\left(\frac{d}{dt}-\frac1t\right)y=\frac{dy}{dt}-\frac yt$$
Now work out $$\left(\frac{d}{dt}-\frac1t\right)\left(\frac{dy}{dt}-\frac yt\right)$$
show that y’’-(2/t)y’+(2/t^2)y = y((d/dt)-1/t)^2 [closed]
Solution 1:
Hint... $$\left(\frac{d}{dt}-\frac1t\right)y=\frac{dy}{dt}-\frac yt$$
Now work out $$\left(\frac{d}{dt}-\frac1t\right)\left(\frac{dy}{dt}-\frac yt\right)$$