Solutions for Linear Equations (Section 1.5) Selected
Problems
For this problem p(x) = 3 and q(x) = 2x.
This equation needs to be rewritten first. Dividing both
sides by x:
For this problem and
q(x) = sin(x).
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First: Find all solutions (note that this is also a
separable equation).
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Second: Use the initial condition.
This is not a linear equation . It is a Riccati equation,
and if we knew a particular
solution , then we could make a change of variables to solve this equation.
This is not a linear equation . It is separable, however,
so we can solve this using
the technique for such equations.
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First: Find all solutions .
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Second: Use the initial condition.
This is not a linear equation .
First: Find all solutions .
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Second: Use the initial condition.