How many solutions does the differential equation have?
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First, is a very strange way to write . Is that what you meant? If it is, then this is a separable equation that is easily solvable: . What do you get when you integrate both sides?
Ya this is easily solvable. But how many solutions does it have? The answer was given as 2. But I cant understand how? It was set in an entrance exam.
Start by solving it! That should help you see what solutions there are! Have you considered what would happen if y were identically 0?
I have arrived at the solution . This is the only solution I got. Then how the no of solution is 2?
Did you even read HallsofIvy's last post? You can only solve the equation through dividing, which means you're making the assumption that . WHAT IF IT WAS?!?!
So the two solutions are ?
Yes
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