Solve the given differential equation by undetermined coefficients. y'' 7y' 6y = 30
1 answer:
The complementary solution is Ус = C₁е¯ + C₂е¯ -6x
Consider the differential equation
=y" + 7y' + 6y = 30...(1)
Rewrite the equation,(D² + 7D + 6)y = 30 where
d /D = dx
Auxiliary equation is,
f(m) = 0
3 m³ +7m+6=0
m² + 6m+m+6=0
m(m+6) +1(m+6) = 0
(m +6)(m + 1) = 0
m = −1, −6 -6
Hence,
The complementary solution is Ус = C₁е¯ + C₂е¯ -6x
To know more about "Differential Equation"
Refer this link:
brainly.com/question/14617716
#SPJ4
You might be interested in
Answer:
1 = 10
Step-by-step explanation:
0.5 x X = 15
15/0.5 = 30
30/3 = 10
Answer:
The answer is D.
Step-by-step explanation:
Distributive Property
4x3=12
4x7=28
28+12=40
Given:
The equation is
To find:
The value of .
Solution:
We have,
On cross multiplication, we get
Therefore, the value of is .
Put the values of w = 12 and x = 1/2 to the expression 15 - 0.75w + 8x.
15 - 0.75(12) + 8(1/2) = 15 - 9 + 4 = 6 + 4 = 10