Solving a Second order ODE in matlab

I need to solve the equation u" + 1 = 0 with BC's of du/dx at x = 0 = 0 and du/dx at x = 1 = -Bi*u(1,theta). u is a function of x and theta; u(x,theta). How can this be done easily in matlab. I assume I need to use ode45 but I am not very familiar with these functions in matlab.

[Nick Alden]

Forgot to mention this is a definite integral from x = 0 to x = 1

[Nick Alden]

I am trying to solve this so that I can find the Initial Condition, I am solving a problem where I have those two boundary conditions and the governing equation but don't know the IC and need the IC to continue further with this problem.

Answer 1

[Torsten]

Solution is

u(x) = -0.5*x^2 + (2+Bi)/(2*Bi)

Best wishes

Torsten.

[Nick Alden]

Is there a good way for coding this in matlab so that in the future I can also easily solve these types of problems?

[Torsten]

Try dsolve:

https://de.mathworks.com/help/symbolic/dsolve.html

Best wishes

Torsten.

[Nick Alden]

Thanks, will give it a shot!