Question: Non-homogeneous differential equation of rational exponent

Hey, guys. Can you help me one more time about the non-homogeneous differential equation, the function is shown below:


y''(x)-0.00003019*y(x)^0.337=[9.542*10^(-13)]*x  ;    0<=x<=2945


y(0)=0; y'(2945)=0; 

Actually, the right part is applied bending moment due to own weight. it is very small, but I don't think I may neglect it.  The exact solution is the best answer for me, the numerical solution is also available for me.  Can you show your code of Maple? Thank you for your any help in advance.   Sincerely, I appreciate it so so so much!!!

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