for y(t) function ty'' - ty' + ty = 0, y(0)= 0 , y'(0)= 1
solve this initial value problem by using Laplace Transform.
(The equation could have been given such as "y'' - y' + y = 0" but
it is not. Please, be careful and solve this question step by
step.) )
Let y′=y(4−ty) and y(0)=0.85.
Use Euler's method to find approximate values of the solution of
the given initial value problem at t=0.5,1,1.5,2,2.5, and 3 with
h=0.05.
Carry out all calculations exactly and round the final answers
to six decimal places.
initial value problem
y'=ty(4-y)/3, y(0)=y_0
determine the behavior of solution as t increases depends on the
initial value y_0
The answer says that y->-infinite when y_0<0. but i cannot
understand. please explain it