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UGRD-MATH6231 Differential Equation
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5. Midterm Exam
Started on Tuesday, 25 May 2021, 10:24 PM
State Finished
Completed on Tuesday, 25 May 2021, 10:56 PM
Time taken 32 mins 3 secs
Grade 48.00 out of 50.00 ( 96 %)
Question 1 Correct Mark 1.00 out of 1. Flag question
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It is obtained when additional information is given so that constants may be calculated. Select one: a. Degree of Differential Equation b. Particular Solution of Differential Equation c. General Solution of Differential Equation d. Order of Differential Equation
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For the differential equation dy/dx=8sin2x, what is the general solution? Select one: a.
- 4cos2x+c b.
- 2cos2x+c c. 4cos2x+c d. 2cos2x+c
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The general solution of the differential equation dy/dx=cos4x-2x is
c. y’ = x / 2y d. y’ = 2y / x
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The differential equation x(dy/dx)=x-y is a linear differential equation of the degree 1. Select one: True False Question 6 Correct Mark 1.00 out of 1. Flag question
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Determine the order and degree of the differential equation: Select one: a. First order, fourth degree b. Fourth order, first degree c. First order, third degree d. Third order, first degree
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The general solution of the differential equation 2x(dy/dx)=3-x^3 is Select one: a.
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Classify the following differential equation: Select one: a. Neither separable nor linear b. Separable and not linear c. Linear and not separable d. Both separable and linear
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What is the order of the differential equation dy/dx + y=x?
Select one: a. 2 b. 4 c. 3 d. 1
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When the right-hand side of the differential equation is zero, it is referred to as a homogeneous differential equation. Select one: True False Question 12 Correct Mark 1.00 out of 1. Flag question
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b.
- 2cos2x c. 4cos2x d.
- 4cos2x
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The particular solution of the differential equation (dy/dx)+x=3, given y=2, when x=1 is Select one: a. y=2x-(x^2 /2)-(1/2) b. y=3x-(x^2 /2)-(1/4) c. y=2x-(x^2 /2)-(1/3)
d. y=3x-(x^2 /2)-(1/2)
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The form of the exact solution to is Select one: a. b. c. d.
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The general solution of the differential equation is Select one: a. b. c. d.
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The general solution of the differential equation is Select one: a. b. c. d.
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The order of the differential equation x^4 (d^3 y/dx^3 )+x(d^2 y/dx^2 ) = 3 is Select one: a. 4 b. 3 c.
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If the roots of the auxiliary equation are real and different, the general solution is Select one: a. b. c.
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The general solution of the differential equation dy/dx=x(1-2y) is Select one: a. y=(1/2)+ce-x b. y=(1/4)+cex c. y=(1/2)+cex
d. y=(1/4)+ce-x
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The degree of the differential equation (d2r/dt2)3+(d2r/dt2)2+y(dr/dt)=0 is Select one: a. 4 b. 2 c. 1 d. 3
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lny=6sinx+c b. lny=3sinx+c c. lny=4sinx+c d. lny=2sinx+c
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Which of the following equations is an exact DE? Select one: a. 2xy dx + (2 + x^2 )dy = 0 b. x^2 ydy – ydx = 0 c. xdy + (3x – 2y)dx = 0 d. (x^2 + 1) dx – xy dy = 0
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The differential equation (x+6y)dx+xdy=0 is homogeneous of degree 1. Select one: True False Question 29 Incorrect Mark 0.00 out of 1. Flag question
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Given the differential equation dy/dx=(x^4 −y4)/(x^2 +y2)xy the degree of differential equation is. Select one: a. 2 b. 1 c. 4 d. 3
