Please help, I am asked to solve the given differential equation subject to the indicated boundary conditions.

y"-10y'+25y=0
y(0)=1 and y(1)=0

After I have found the general solution,
y=(C1)e^(5x)+(C2)xe^(5x)

how do i solve for (C1) and (C2) given the boundary conditions?

Question

Please help, I am asked to solve the given differential equation subject to the indicated boundary conditions.

y"-10y'+25y=0
y(0)=1 and y(1)=0

After I have found the general solution,
y=(C1)e^(5x)+(C2)xe^(5x)

how do i solve for (C1) and (C2) given the boundary conditions?

babyslapmafro · Answer

Do I just plug in the values for the boundary conditions and solve a system of equations?