Q67·Section II (Mathematics)·67 of 180ODE — a linear combination that decouples the systemThe solutions of dydx=2y+z\frac{dy}{dx}=2y+zdxdy=2y+z and dzdx=3y\frac{dz}{dx}=3ydxdz=3y satisfy the relation: OptionsAy−z=ce3xy-z=ce^{3x}y−z=ce3xBy+z=ce−xy+z=ce^{-x}y+z=ce−xC3y+z=ce3x3y+z=ce^{3x}3y+z=ce3xD3y+z=ce−x3y+z=ce^{-x}3y+z=ce−xPick an option to check your answer.Show answerShow solution Report a problem with this question← Q66All questionsQ68 →Keyboard: A–D answer · S solution · ←/→ previous/next