Solving: $\cos\left(4\right)\frac{dy}{dt}\sin\left(t\right)-u\sin\left(t\right)\cos\left(t\right)=0$
Exercise
$\cos4\sent\frac{dy}{dt}-\senu\cos t$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation cos(4)sin(t)dy/dt-sin(t)ucos(t)=0. Simplify -u\sin\left(t\right)\cos\left(t\right) using the trigonometric identity: \sin(2x)=2\sin(x)\cos(x). Multiplying the fraction by u. Divide all terms of the equation by \cos\left(4\right)\sin\left(t\right). Zero divided by anything is equal to zero.
Solve the differential equation cos(4)sin(t)dy/dt-sin(t)ucos(t)=0
Final answer to the exercise
$y=\frac{u\sin\left(t\right)}{\cos\left(4\right)}+C_0$