1. The differential equation d³y dx³ = 1+ dy dx is (A) 2rd order, linear (B) 6th order, linear (C) 6th order, non-linear (D) 3rd order, non-linear (E) 3rd order, linear 2. The general solution of the differential equation 6

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Chapter2: Second-order Linear Odes
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1. The differential equation
is
d³y
dx³
(A) 2rd order, linear
(B) 6th order, linear
(C) 6th order, non-linear
(D) 3rd order, non-linear
(E) 3rd order, linear
2. The general solution of the differential equation
1+
X
dy
dx
(e³ + 1)²e-³dx + (e² + 1)³e-dy = 0
would be
(A) (e³ + 1)−¹ = (e* + 1)-² + C
(B) −(e³ +1)−¹ =
(e* + 1)−² + C
(C) −(e² + 1)² =
(eª + 1)−¹ + C
(D) −(e³ + 1) =
(e² + 1) + C
(E) (e² + 1)−¹ =
½(eª + 1)-² + C
3. The general solution of the differential equation
would be
(A) y = + C for 0 < x < ∞.
(B) y=+Cx-² for 0 < x <∞.
(C) y = 22 +C for 0 < x <∞.
(D) y=+C√x for 0 < x <∞.
(E) y = 32² + C for 0) < x < ∞.
dy
dx
6
+ 2y = 3
Transcribed Image Text:1. The differential equation is d³y dx³ (A) 2rd order, linear (B) 6th order, linear (C) 6th order, non-linear (D) 3rd order, non-linear (E) 3rd order, linear 2. The general solution of the differential equation 1+ X dy dx (e³ + 1)²e-³dx + (e² + 1)³e-dy = 0 would be (A) (e³ + 1)−¹ = (e* + 1)-² + C (B) −(e³ +1)−¹ = (e* + 1)−² + C (C) −(e² + 1)² = (eª + 1)−¹ + C (D) −(e³ + 1) = (e² + 1) + C (E) (e² + 1)−¹ = ½(eª + 1)-² + C 3. The general solution of the differential equation would be (A) y = + C for 0 < x < ∞. (B) y=+Cx-² for 0 < x <∞. (C) y = 22 +C for 0 < x <∞. (D) y=+C√x for 0 < x <∞. (E) y = 32² + C for 0) < x < ∞. dy dx 6 + 2y = 3
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