Basic Differential Equations Quiz

Which of the following is the ordinary differential equation? (select more than one)*

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Which of the following is the 1st order ordinary differential equation?*

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Which of the following ordinary differential equation is linear?(select more than one)*

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dP/dt = P (1-P) is a (a)   equation

Which of the following differential equation is TRUE according to the indicated dependent and independent variable? (select more than one)*

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Which of the following differential equation fits to the physical description given? (select more than one)*

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Is the following statement is TRUE?*

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• NO

Is the given function is the implicit solution for the differential equation; dy/dx = 3x²/2y ?

• YES

• NO

Does the given function is a solution of the differential equation?*

• YES

• NO

 The function, x = c1 cos4t + c2 sin4t  is a family solution for the for differential equation of x'' + 16x = 0.

Given the initial value problem;  x(π/2) = -2 and x'(π/2) = 1

Which of the following solution regarding the initial value problem is TRUE?

• c1= -1, c2 = -1/4 thus, the solution is x = − cos4t - 1/4 sin4t

• c1= -1/4, c2 = -1 thus, the solution is x = −1/4 cos4t - sin4t

• c1= -2, c2 = 1/4 thus, the solution is x = −2 cos4t + 1/4 sin4t

• c1= 1/4, c2 = -2 thus, the solution is x = 1/4 cos4t - 2 sin4t