MATLAB How to calculate (lim(0:1) ∫u dy)

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The discussion centers on solving three sets of second-order ordinary differential equations (ODEs) involving variables ψ, u, and T. The equations are interconnected, with the first equation relating to the hyperbolic sine function, while the second equation incorporates the second derivative of ψ. The third equation for T includes a term that requires calculating the limit of the integral of u over the interval from 0 to 1. Participants seek guidance on how to compute this integral limit and request MATLAB code to implement the solution for the ODEs. The focus is on obtaining a clear MATLAB implementation that effectively addresses the mathematical relationships and calculations involved in these equations.
Mickytenu
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Facing problem in solving 3 sets of ODE of second order.

1.∂2ψ/∂y2= 5 sinh(2ψ);

2.∂2u/∂y2= 20- ∂2ψ/∂y2;

3. ∂2T/∂y2= u*5/(lim(0:1) ∫u dy) + 15;


how to calculate (lim(0:1) ∫u dy) , while writing the MATLAB ode set of equations.
 
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Some please write the MATLAB code and post..this will be a great help/
 

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