I will give thumbs up, please also show work :)

tra Credit 1. Given the homogeneous linear differential equation y " +a(t) y"+ b(t) y'+ c(t)y=0 If the set N (t), N, (t), N,(1) forms the natural fundamental set solutions associated with time t, =5 , show how to find its Wronskian evaluated at time t, =5 i.e. show all your work to find WIN, N , N, 1(5) . tra Credit 2. Suppose three solutions Y, Y,, Y, to the equation y " tay "+ by'tcy=f(t) are such that Y, -Y, =e-2 and Y, -Y =sin(3x) . Determine the coefficients a, b, and c