Input: DSolve[-(1/8) * Xi[2]'''[t] == 0, Xi[2], {t}] Input: DSolve[-(1/2) * h''[t] == 0 , h[t], {t}] Output: {{Xi[2] -> Function[{t}, C[1] + t C[2] + t^2 C[3]]}} Output: {{h[t] -> C[1] + t C[2]}}
How to substitute the results of the above outputs and thereafter apply
DSolve[ [p]'[t] + 1/4 * Xi[2]''[t] == 0 , p[t], {t}]
How to substitute all the outputs in the differential expression?
u [p]'[t] - 1/2 u x *h''[t] + 1/4 u * Xi[2]''[t] - 1/8 u x^2 * Xi[2]'''[t]
