11.4 Higher Order IVP: Transformation Fundamentals
2 pts
Consider the differential equation $\frac{d^3y}{dx^3} = 2x + \frac{d^2y}{d2} + 4xy(\frac{dy}{dx})^3$ with initial conditions $y(1) = 3$, $y'(1) = 2$, $y''(1) = 0$:
Write this ODE as a system of first-order initial value problems in standard form (including all initial conditions). When done, I want JUST the system standard form in a box, with no other extraneous terms.