Solve the Differential equation :- ( D²- 3DD' + 2D'²)z = cos (x+2y) + e^3x-y ( Need Full Solution Please )
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Answer:
Step-by-step explanation:
Solve xp + yq = z.
Solution. The subsidiary equation is dx
x =
dy
y = dz
z
. Taking the first ratio we have dx
x =
dy
y
.
Integrating we get
log x = log y + log c1
log
x
y
= log c1
x
y
= c1.
Taking the second and third ratios we have dy
y = dz
z
. Integrating we get
log y = log z + log c2
log
y
z
= log c2
y
z
= c2.
The required solution is φ
x
y
,
y
z
= 0
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