# Worksheet: Method of Undetermined Coefficients

In this worksheet, we will practice solving a linear nonhomogeneous differential equation with constant coefficients by using the method of undetermined coefficients.

Q1:

Solve .

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Q2:

Solve .

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Q3:

Solve .

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Q4:

Solve .

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Q5:

Solve .

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Q6:

Solve the third-order differential equation under the conditions , , and .

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Q7:

Find the general solution for the ordinary differential equation with constant coefficients whose right-hand side is nonzero.

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Q8:

Solve .

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Q9:

Solve .

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Q10:

Solve .

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Q11:

Solve the following differential equation under the conditions and : .

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Q12:

Solve .

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Q13:

Solve .

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Q14:

Solve .

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Q15:

Solve .

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Q16:

Find the general solution for the following differential equation using the method of undetermined coefficients:

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Q17:

Solve .

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Q18:

Solve .

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Q19:

Which of the following is a particular solution to the differential equation .

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Q20:

Solve .

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Q21:

Find the general solution for the following nonhomogeneous ordinary differential equation: .

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Q22:

Find the particular solution and the complementary function for the following ordinary differential equation using the method of inverse operators: .

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Q23:

Solve .

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Q24:

Solve .

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Q25:

Solve .

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