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Question: find a homogeneous linear differential equation with constant coefficients that...

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MTH 244 Differential Equations Worksheet 10/ Spring 2017 Name: 10.1 Find a homogeneous linear differential equation with constant coefficients that has a given par- ticular solution. Hint: You may want to use the derivative operator D d/dz to represent the equation (a) (z)- cos 32, (b) vp(z) z sin 2z, (d) (z) sin 3r. 10.2 write out the assumed form of a particular solution, but do not carry out the calculations of undetermined coefficients. (a) y My (b) y 4 (z -1)2.
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