Use the Laplace transform to solve the given system of differential equations. dx dt dy dt x(0) = 0, y(0) x(t) = 4x2y + 2(t-1) = 3x - y+ Ul(t-1) = = y(t) = ( )u(t- ) 2(t-|

Using a Laplace Transform to solve a differential equation y'(t) - 3y(t) =  &(t-2), condition to initial condition: y(0) = 0, The solution is: y(t) = e3(t-2)u2(t) Choose an option: a)Real b) False

Find the canonical form of the partial differential equation and use this to find solution in terms of two twice differentiable functions (a) 3 + 6y + 2llyy = 0. (b) + 6y +9y+U₂ = 0.