A linear equation in form:
dy/dx + P(x)y = 0 is said to be homogeneous since Q(x)=0.
a) show that y=0 is a trivial solution (wasn't even taught what a trivial solution is)
b) show that y=y1(x) is a solution and k is a constant, then y=ky1x is also a solution.
c) show that if y=y1x and y=y2x are solutions, then y=y1x + y2x is a solution
I don't even know how to start this problem. For part a) i simply plugged in 0 for y and got dy/dx=0 . doesn't seem right. then i tried separation of variable and got stuck at
can someone please guide me through? i have about three other problems like this and i haven't got a clue how to solve them.
p.s. that's y(sub1) and y(sub2)