e^y sin⁡〖x=sin⁡(x+y)〗

Вопрос пользователя:

Ответ нейросети:

To solve the equation e^y sin(x) = sin(x+y), we can rewrite it as:

e^y sin(x) = sin(x)cos(y) + cos(x)sin(y)

Now we can simplify the equation by dividing both sides by sin(x):

e^y = cos(y) + cot(x)sin(y)

Now we can isolate e^y by subtracting cos(y) from both sides and then dividing by sin(y):

e^y = cot(x)sin(y) - cos(y)

Therefore, the solution to the equation e^y sin(x) = sin(x+y) is e^y = cot(x)sin(y) - cos(y).

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