Answer:
The general solution of the given differential equation
Step-by-step explanation:
Step(I):-
Given differential equation
y⁴+18y"+81y=0
⇒ (D⁴+18D²+81)y =0
The auxiliary equation
we will use formula ( a + b)² = a² + 2 a b + b²
⇒ ( m² + 9 ) ² = 0
⇒ ( m² + 9 ) ( m² + 9 ) = 0
m² + 9 = 0
The complex roots are 0± 3 i ,0 ± 3 i
<em>Step(ii)</em>:-
The complementary function
The general solution of the given differential equation
The general solution of the given differential equation
Answer:
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Answer:
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Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
<span>k/-4 = - 0.8,
make k the subject of the equation by multiplying through by -4,
this means, </span><span>(k/-4) x -4 = - 0.8</span> x -4
this should give you k = -0.8 x -4, the negatives will cancel out to give you positive values,
so k= 3.2
your answer is D