Question

Calculus Help
Fan + Medal

Answer 1

Hey from the equation you have to eliminate y

Answer 2

By doing that you have to differentiate them individually so you have an equation for the first order and the second order , then you substitute each variable

Answer 3

that's the second derivative we can actually work backwards by integration

Answer 4

Just to show you how we can get to the original function posted.

\[\frac{ d^{2}y }{ dx^{2} } = \sin(x)\]

\[\int\limits d^{2}y = \int\limits \sin(x)*dx^{2}\]

\[\int\limits dy = \int\limits -\cos(x)~dx +\int\limits C~dx = -Sin(x)+Cx+D\]

Answer 5

\[y = -Sin(x)+C(x) + D \]

you know what the function value is already all you need to do is plug in x and solve.