Missing Power Solving the PDE (Solution included)

[zr95]

Homework Statement

Homework Equations

The Attempt at a Solution

integral[du]= Integral[xt ds]
xt=18s²+3sT
so,
u=Integral[18s²+3sT]
u=6s³+(3/2)s²T+C
C=e^T2

This is what I did and the solution is below. I'm unsure where the missing power on the (3/2)sT went in the u(s,t) equation.[/B]

 

[SammyS]

Homework Statement

View attachment 100094

Homework Equations

The Attempt at a Solution

integral[du]= Integral[xt ds]
xt=18s²+3sT
so,
u=Integral[18s²+3sT]
u=6s³+(3/2)s²T+C
C=e^T2

This is what I did and the solution is below. I'm unsure where the missing power on the (3/2)sT went in the u(s,t) equation.
View attachment 100096

Let's make the initial image somewhat readable:

You reaaly need to give a complete statement of your problem in the body of your initial post. Here, are we to assume that you are asked to solve that PDE with the stated initial condition?

 

[zr95]

The goal is to solve the cauchy pde.