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  3. problem 17 classify the following differential equations as odes or...

Question: problem 17 classify the following differential equations as odes or...

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Problem 1.7 Classify the following differential equations as ODEs or PDEs, inear or non-linear, and determine their order. For the linear equations, determine whether or not they are homogeneous. (a) The diffusion equation for u(x,t): ut = kull. (b) The wave equation for w(x, t) : (c) The thin film equation for h(x, t): (d) The forced harmonic oscillator for y(t): Yet + w2 y = F cos (wt (e) The Poisson Equation for the electric potential 4(x, y,z) : where f(x, y, z) is a known charge density. (f) Burgers equation for h(x, t)
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