- #1
whatababy
- 5
- 0
A second ODE problem that bothers me a lot~~ HELP!
The question is like:
Find the function y1 of t which is the solution of:
9y''-36y'-45y=0
with initial conditions y1(0)=1, y'1(0)=0
y1= ?
Find the function y2 of t which is the solution of:
9y''-36y'-45y=0
with initial conditions y2(0)=0, y'2(0)=1
y2= ?
Find the Wronskian W(t)= W(y1.y2)
W(t)=?
The way I tried to achieve the problem is to solve the characteristic equation, which is
9r2-36r-45=0, which gives r1=5 and r2=-1; then I consider y1 and y2 are exp(r1) and exp(r2) respectively. But it seems my answer is wrong...
The question is like:
Find the function y1 of t which is the solution of:
9y''-36y'-45y=0
with initial conditions y1(0)=1, y'1(0)=0
y1= ?
Find the function y2 of t which is the solution of:
9y''-36y'-45y=0
with initial conditions y2(0)=0, y'2(0)=1
y2= ?
Find the Wronskian W(t)= W(y1.y2)
W(t)=?
The way I tried to achieve the problem is to solve the characteristic equation, which is
9r2-36r-45=0, which gives r1=5 and r2=-1; then I consider y1 and y2 are exp(r1) and exp(r2) respectively. But it seems my answer is wrong...