## Related questions with answers

Question

Solve the boundary-value problem, if possible.

$y’’-8y’+17y=0, y(0)=3, y(π)=2$

Solutions

VerifiedSolution A

Solution B

4.8 (5 ratings)

Step 1

1 of 7$y''-8 y' +17y =0$

The auxiliary equation is

$r^2-8r+17=0$

Subtract 1 from both sides

$r^2-8r+16=-1$

$(r-4)^2=-1$

Take square root of both sides, To get

$r-4 = \pm i$

There are two solutions, $r_1 = 4-i$ and $r_2 = 4+i$

Answered 1 year ago

Step 1

1 of 9We will first determine the general solution of the second-order differential equation, and then we will include the boundary values.

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