Engineering Board Exam Reviewer · Second-Order Linear Homogeneous Equations · easy

Find the general solution of y''+9y=0.

1. y = C1 e3 x + C2 e- 3 x
2. y = C1 9 x + C2 9 x
3. y = C1 3 x + C2 3 x
4. y = ≤ft(C1 + C2 x ) e- 3 x

Answer

C. y = C1 3 x + C2 3 x

Solution

r2+9=0 r= 3i, so y=C1 3x+C2 3x.

More Second-Order Linear Homogeneous Equations questions

1. Find the general solution of y''-4y=0.
2. Find the general solution of y''-5y'+6y=0.
3. Find the general solution of x2y''-2xy'+2y=0 for x>0.
4. Find the differential equation whose general solution is y=C1ex+C2e3x.
5. Solve y''-y'-6y=0 with y(0)=0 and y'(0)=5, and find y( 2).
6. Solve y''+4y=0 with y(0)=1 and y'(0)=2, and find y≤ft( π4 ).
7. Find the general solution of y'''-3y''+2y'=0.
8. Find the general solution of 2y''+y'-y=0.
9. Find the general solution of y''-2y'+2y=0.
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