@dharr sir i explaind in detail the value of Q and lambda at the end of code in maple worksheet . For example

 I want to chect the impact of k, We and Br on θ at x=0 and n=0,  for this the value of k =0.1,0.3,0.5,0.7,0.9 and by fixing the value of We=0.1 and the value of Br=0.3. For the the value of Q=0.5617,0.4392,0.2564,0.1645,0.0659 and λ=0.0096, 0.0010,0.0093,0.0075,0.0031.`

@dharr I have fixed but still do not get the output. please check

ODE_Numeric_solution_help.mw

@dharr it's written mistakenly. Actually, I want to solve for theta as a function of y.

@tomleslie Sir, I have fixederror and now the file is working accordingly. 

@Thomas Richard 

Sir, I am trying to explian the concept which i want to apply on the problem. Beside this Isimplified the ODE in attached picture. We can suppose the value of n=2. 

1-The boundary condition for zeroth, ist and 2nd order ode alos defened.

Help.pdf

@tomleslie Thank sir for your comment. You always help me, whenever i posted at this forum.

Sir, I am trying to explian the concept which i want to apply on the problem. Beside this Isimplified the ODE in attached picture. We can suppose the value of n=2. 

1-The boundary condition for zeroth, ist and 2nd order ode alos defened.

Help.pdf

Please PDF file to extract idea that want to apply.

Help.pdf

@Carl Love  thanks for this. It is working perfectly

@tomleslie sir I have repleaced the expression and now want to find the value lambda after puting P=0 by varing k in interval [0.1,0.9 ] by fixing R and B and repeat the steps for R and B. I find value one by one but its take alot of time; i want to calculate in loop. I try your previou suggestion in this file but could not get the answers.

k_and_roots.mw

@tomleslie  thank you for help. sir let me recheck my expression

@tomleslie here is my try to improve the quality or dpi of the graph.is it possible to increse more quality. Sir one thiing more, I used subs to show different graphs in one diagram is their any other way to do same thing.

Qaulity.mw

desire mean how to adjust DPI of graph like 300, 400 and 600 etc

@acer thank you sir. I was using diff tutor() to see the step but this way is more convient then that.

@acer can you please share some link from where i can download books related to thesis method to learn coding.

@acer I have observed the outcomes