Hi, I was off school today so I missed learning about this in class today. I've been given the question:
"Find the particular solution to d2y/dx2 - 10dy/dx + 25y = 0 given that when x=0, y=2 and dy/dx=2"
Now I've found the general solution and A, but I'm not sure how to use dy/dx=2 to find B in the particular solution. I know it's probably really simple but i can't find it in my notes and have been ill so have basically had to teach myself differential equations over the weekend! thanks in advance to anyone that can help.
Hi, I was off school today so I missed learning about this in class today. I've been given the question:
"Find the particular solution to d2y/dx2 - 10dy/dx + 25y = 0 given that when x=0, y=2 and dy/dx=2"
Now I've found the general solution and A, but I'm not sure how to use dy/dx=2 to find B in the particular solution. I know it's probably really simple but i can't find it in my notes and have been ill so have basically had to teach myself differential equations over the weekend! thanks in advance to anyone that can help.
I wouldn't have noticed it off the top of my head normally, it's just the coefficents 1, -10 and 25 said to me (x-5)2 immediately. If there'd been two different roots, it would have been less apparent.