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!
OD
Answered by Oliver D. • Further Mathematics tutor
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