InterviewSolution
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InterviewSolution
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Find the general solution of each of the following differential equations: `(dy)/(dx)=e^(x+y)+e^(x-y)` |
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Answer» Correct Answer - `tan^(-1)(e^(y))=e^(x)+C` `int(e^(y))/((e^(2y)+1))dy =int e^(x)dx rArr int (dt)/((t^(2)+1))=e^(x)+C." where " e^(y)=t` `rArr tan^(-1)(t)=e^(x)+C rArr tan^(-1)(e^(y))=e^(x)+C.` |
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