Verify if y=e2xy = e^{2x}y=e2x is a solution to y′′−4y=0y'' - 4y = 0y′′−4y=0.
Yes, because 4e2x−4e2x=04e^{2x} - 4e^{2x} = 04e2x−4e2x=0.
No, because the derivative is 2e2x2e^{2x}2e2x.
Yes, because 2e2x−4e2x≠02e^{2x} - 4e^{2x} \neq 02e2x−4e2x=0.
No, because y′′=4e2xy'' = 4e^{2x}y′′=4e2x.