does anyone know how to solve this ?
given an equation : y(t) = 5x^2 (t) - 4 dy/dt
a. proof that the system is linear or nonlinear
b. proof that the system is time invariant or time variant

Question

does anyone know how to solve this ?
given an equation : y(t) = 5x^2 (t) - 4 dy/dt
a. proof that the system is linear or nonlinear
b. proof that the system is time invariant or time variant

anonymous · Answer

y=5x^2-4dy/dt
4dy/dt=5x^2-y
dy/dt=5/4x^2-1/4y
dy=5/4x^2dt-1/4ydt
integrate the equation
y=int(5/4x^2dt)-1/4int(ydt)
its nonlinear

anonymous · Answer

hey its complex we are provided with y(t) in right hand side of teh equation not axactly y.. @sara17

anonymous · Answer

it will be solved if we apply laplace and inverse laplace tranform on the above equation..