Q1. Select the proper choice(s) for each of the following statements: 1. The order of the differential equation dyldx + 4y = sin (x) is_ (B) 1,) (A) 0.5, (C) 2, 2. the LC circuit differential equation (L+¹= dE ) is dt² equation. A. Linear, 1st order, homogeneous, partial B. non-Linear, 1 order, homogeneous, ordinary C. Linear, 2nd order, non-homogeneous, partial D Linear, 2nd order, non-homogeneous, ordinary. 4. the differential equation d²y dt² 3. Type of problem where given conditions required to find the particular solution have different values of the independent variable is called (A) Initial value problem, + B (A) dt (C) x²+B+C y = D. dt + xy = 0, dM dN dx dy ((B) dN dM dx Sem (B)) Boundary value problem 5. To solve the Exact nonlinear 1" order ODE, the condition that needs to be satisfied is is in the standard form of differential equation. d²y (B) + sin x + C y = D. dt² dt (D) x2y (C) dy dt² dt (D) 0. dM dM dx dy - differential Linearly independent and finite number of terms, B. Linearly independent and infinite number of terms, C. Linearly dependent and finite number of terms, D. Linearly dependent and infinite number of terms. 30 + y = 0. (D) d.N dN dx dy 6. In order to be able to apply the method of undertermined coefficients to solve 2nd order linear nonhomogeneous ODE the non-homogeneous term must be K
Q1. Select the proper choice(s) for each of the following statements: 1. The order of the differential equation dyldx + 4y = sin (x) is_ (B) 1,) (A) 0.5, (C) 2, 2. the LC circuit differential equation (L+¹= dE ) is dt² equation. A. Linear, 1st order, homogeneous, partial B. non-Linear, 1 order, homogeneous, ordinary C. Linear, 2nd order, non-homogeneous, partial D Linear, 2nd order, non-homogeneous, ordinary. 4. the differential equation d²y dt² 3. Type of problem where given conditions required to find the particular solution have different values of the independent variable is called (A) Initial value problem, + B (A) dt (C) x²+B+C y = D. dt + xy = 0, dM dN dx dy ((B) dN dM dx Sem (B)) Boundary value problem 5. To solve the Exact nonlinear 1" order ODE, the condition that needs to be satisfied is is in the standard form of differential equation. d²y (B) + sin x + C y = D. dt² dt (D) x2y (C) dy dt² dt (D) 0. dM dM dx dy - differential Linearly independent and finite number of terms, B. Linearly independent and infinite number of terms, C. Linearly dependent and finite number of terms, D. Linearly dependent and infinite number of terms. 30 + y = 0. (D) d.N dN dx dy 6. In order to be able to apply the method of undertermined coefficients to solve 2nd order linear nonhomogeneous ODE the non-homogeneous term must be K
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q1. Select the proper choice(s) for each of the following statements:
1. The order of the differential equation dyldx + 4y= sin (x) is_
(A) 0.5,
(B) 1,
(C) 2,
2. the LC circuit differential equation (L+=) is
equation.
A. Linear, 1st order, homogeneous, partial
B. non-Linear, 1 order, homogeneous, ordinary
C. Linear, 2nd order, non-homogeneous, partial
D Linear, 2nd order, non-homogeneous, ordinary.
4. the differential equation
(A) A+B
dy
dt
+B+C y = D.
(C) x²
3. Type of problem where given conditions required to find the particular solution have
different values of the independent variable is called
(A) Initial value problem,
dt
(A)
+ xy = 0,
dM
AN
dx dy
(B)
dN dM
dx
dy
dE
=
dt
5. To solve the Exact nonlinear 1" order ODE, the condition that needs to be satisfied
is
(B)) Boundary value problem
(C)
is in the standard form of differential equation.
d²y
(B) + sin x + C y = D.
dt²
dt
(D) 0.
(D) x2d²y
+ + y = 0.
dt² dt
dM
4M
dx dy
differential
P
50
Linearly independent and finite number of terms,
B. Linearly independent and infinite number of terms,
C. Linearly dependent and finite number of terms,
D. Linearly dependent and infinite number of terms.
(D)
dN dN
dx dy
6. In order to be able to apply the method of undertermined coefficients to solve 2nd
order linear nonhomogeneous ODE the non-homogeneous term must be
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