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cia196785920
03.10.2019 •
Mathematics
Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. find the value of c in radians, not degrees
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Ответ:
Step-by-step explanation:
Rewrite the equation as:
Isolating![\frac{dy}{dx}](/tpl/images/0285/0552/171df.png)
Factor:
Dividing both sides by
and multiplying them by ![dx](/tpl/images/0285/0552/9d5bb.png)
Integrate both sides:
Evaluate the integrals:
Solving for y:
Evaluating the initial condition:
Converting 60 degrees to radians:
Replacing
in the diferential equation solution:
Ответ:
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