# Question:pde system solve

## Question:pde system solve

Maple

hi,

i obtained values for h(t) and u(t) and i wana obtaine s(t) , i don't konw how can i do it

for h(t) and u(t) ,

sol1 := dsolve([4.00000000000000*u(t)^2*h(t)*(diff(diff(h(t), t), t))-8.00000000000000*h(t)^2*(427.2460938*u(t)+385620.1174/u(t)-25671.38673)^2+16.0000000000000*u(t)*h(t)*(427.2460938*u(t)+385620.1174/u(t)-25671.38673)*(diff(h(t), t))+(16406.2500000000*(-29.8200000000000+u(t)))*h(t)^2*(427.2460938*u(t)+385620.1174/u(t)-25671.38673)+7171.87500000000*u(t)*h(t)*(diff(h(t), t))-16406.2500000000*h(t)^2*(30-u(t))*(427.2460938*u(t)+385620.1174/u(t)-25671.38673)+u(t)^2*h(t)-0.225000000000000e-1+0.225000000000000e-1*(.997494986604054+.106105802501554*sin(t-1.5))^2+4.00000000000000*(h(t)*(427.2460938*u(t)+385620.1174/u(t)-25671.38673)+u(t)*(diff(h(t), t)))^2 = 0, diff(u(t), t) = 427.2460938*u(t)+385620.1174/u(t)-25671.38673, h(1.44) = 0.145e-4, (D(h))(1.44) = .12093, u(1.44) = .62], numeric)

and s(t) is , s(t)=1/r*d/dt(u(t)*h(t))

thanks.

﻿