Quiz II H. O. D. E. Assesses understanding of differential equations, focusing on solving various types with given conditions. It evaluates key mathematical skills necessary for advanced studies in engineering and sciences, enhancing problem-solving abilities.
Xe2x
Xe-2x
Xe0.5x -xe-0.5x
0.5xe0.5x -0.5xe-0.5x
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Xex
0.5xex-0.5xe-x
Xex-xe-x
-xe-0.5x
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C1 e(-x)+C2 e4x-1/6 e2x
C1 ex+C2 e4x-1/6 e2x
C1 e(-x)+C2 e-4x-1/6 e2x
C1 e(-x)+C2 e4x-1/6 e-2x
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C1 ex+e(-x/2) (C2 cos(√3x/2)+C3 sin(√3x/2))
C1 e-x+e(x/2) (C2 cos(√3x/2)+C3 sin(√3x/2))
C1 ex+e(-x/2) (C2 cos(x/2)+C3 sin(x/2))
C1 ex+e-x (C2 cos(√3x/2)+C3 sin(√3x/2))
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Xe0.5x
-xe0.5x
Xe0.5x - xe-0.5x
0.5xe-x - 0.5xex
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C1 +C2 e(-6x)+C3 e2x
C1 ex+C2 e(-4x)+C3 e(-2x)
C1 ex+C2 e(-6x)+C3 e2x
C1 e2x+C2 e(-6x)+C3 e(-2x)
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(-1)/2 sinx
1/2 sinx
Sinx
(-1)/2 cos x
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1/18 e2x-1/6 e(-2x)
1/18 e2x-1/6 e(-3x)
1/9 e3x-1/6 e(-2x)
1/18 e2x+1/6 e(-2x)
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C1 e(-2x)+ex (C2 cos(√3x)+C3 sin(√3x))
C1 e2x+ex (C2 cos(√3x)+C3 sin(√3x))
C1 e(-2x)+e-x (C2 cos(√3x)+C3 sin(√3x))
C1 e(-3x)+ex (C2 cos(√3x)+C3 sin(√3x))
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-1/2 Cos x
1/2 Cos x
Cos x
-3/2 Cos x
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E3x (C1 cos2x+C2 sin2x)+1
E3x (C1 cos2x+C2 sin2x)
Ex (C1 cos2x+C2 sin2x)+1
E-3x (C1 cos2x+C2 sin2x)+1
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1/(f" (a)) eax
X2/(f" (a)) eax
X/(f" (a)) eax
X3/(f" (a)) eax
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P2-4q>0
P2>0
P2-4q=0
P2-q=r
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C1 ex+C2 e5x +C3 e(-2x)
C1 ex+C2 e3x +C3 e(-2x)
C1 e-x+C2 e5x +C3 e(-2x)
C1 ex+C2 e-2x +C3 e(-5x)
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This quiz focuses on solving and understanding various differential equations, exploring solutions, integrating factors, and orders of differential equations.
Questions:
20 |
Attempts:
164 |
Last updated:
Mar 20, 2023
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Math Quiz: Differential Equations Assessment Questions!
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Attempts:
660 |
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