MEI Differential equations

Obtain a particular solution to (1-e^2y)dy/dx =e^y given that y=0 when x=2. (There is no need to express y in terms of x).
Not too sure what method to use for this one since I only know to put it into y in terms of x, help would be much appreciated.

Reply 1

mqb2766

21

Original post by Yamahama

Obtain a particular solution to (1-e^2y)dy/dx =e^y given that y=0 when x=2. (There is no need to express y in terms of x).
Not too sure what method to use for this one since I only know to put it into y in terms of x, help would be much appreciated.

Seperation of variables should work?

Reply 2

New1

11

Original post by Yamahama

Obtain a particular solution to (1-e^2y)dy/dx =e^y given that y=0 when x=2. (There is no need to express y in terms of x).
Not too sure what method to use for this one since I only know to put it into y in terms of x, help would be much appreciated.

Divide both sides by e^y. You will be left with (1-e^2y)/e^y dy = dx, and integrate both sides. Remember the +c when you have integrated it.

MEI Differential equations

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