The leftHandSide of the PDE is function of x &y and the rightHandSide is a function of 't'. So, if x and y are not function of 't' (in general those are orthogonal to each other) then we can write both LHS and RHS to be equal to a constant 'K'.Hello. I have two quastion about this diffrential equation :
1.is this hemogenios?
2.how can I solve? (can I solve It with seperation method?)
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The leftHandSide of the PDE is function of x &y and the rightHandSide is a function of 't'. So, if x and y are not function of 't' (in general those are orthogonal to each other) then we can write both LHS and RHS to be equal to a constant 'K'.
Since that "constant" can be any number, NOT necessarily equal to zero, the whole PDE is NOT 'homogeneous'.
Yes - you start to solve it through separation of variable like:
T(x,y) = G(x) * H(y)
If this problem is an assignment in a course-work, you must have been shown the solution ofThank you for your help. I use seperation method to solve the equation that is in the picture. But nonhemogenios term prevents seperation. Should I solve hemogenios form of this equation first? How can I solve nonhemogenios part of this problem?