Differential equations
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section 4.3 # 4,16,22,34,38
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The auxiliary equation for the given differential equation has complex roots. Find a general solution.
Solve the given initial value problem.
Prove the sum of angle formula for the sine function by following these steps.
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Solution Summary
This provides several examples of working with differential equations, including initial value problem, complex roots, a proof of the sum of angle formula, and an RLC series circuit.
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4. if the auxiliary equation has complex roots , the general solution has the form of , where C1 and C2 are both constants
The auxiliary equation is
The roots are:
Then the general solution is
16. The auxiliary equation is
The roots are:
Since the auxiliary equation has two district real roots, the general solution ...
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