Question: How can I arrange the differential equation?

 

Dear all,

I have the following partial differential equation. I want all terms with 'diff' to be moved to the left side of the equation and all source terms to be moved to the right side of the equation.

diff(u(x, t), t, t) + 3 + 2*diff(u(x, t), t) + 4*t + x^2 + x^3/3 + diff(u(x, t), t, x, x) + diff(u(x, t), x, x, x, x) = x*t^2;

Is there a comprehensive solution for such purposes?

The desired result:

diff(u(x, t), t, t) + 2*diff(u(x, t), t) +  diff(u(x, t), t, x, x) + diff(u(x, t), x, x, x, x) = x*t^2-x^3/3 -x^2-4*t -3;

Can anyone guide me?

Best wishes,

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