Is $y = \sqrt { C - 2 \cos t }$ a solution to the differential equation $\frac { d y } { d t } = \frac { \sin t } { y ^ { 2 } }$ (for some constant C)?

Name: Is $y = \sqrt { C - 2 \cos t }$ a solution to the differential equation $\frac { d y } { d t } = \frac { \sin t } { y ^ { 2 } }$ (for some constant C)?
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Question

Quizplus · Accepted Answer

The derivative of $y = \sqrt{C - 2 \cos t}$ with respect to $t$ does not match the given differential equation $\frac{dy}{dt} = \frac{\sin t}{y^2}$.

Is y=C−2cos⁡ty = \sqrt { C - 2 \cos t }y=C−2cost​

Is $y = \sqrt { C - 2 \cos t }$