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How do you find the general solution of a second order differential equation?
Steps:
Use the auxiliary equation on the equation given in the question
Solve the resulting equation
Identify the appropriate complementary function from the solutions
Determine an appropriate particular integral
Differentiate this equation twice
Sub in the particular integral and its differentials to the original equation in order to find the value of the constants in the particular integral
Find general solution by adding the complementary function and particular integral
Check!
Answered by Oliver D. •
Further Mathematics tutor
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