Engineering Board Exam Reviewer · Order and Degree of Differential Equations · easy

How many arbitrary constants are typically found in the general solution of a 4th-order differential equation?

1. 4
2. 2
3. 1
4. 8

Answer

A. 4

Solution

The number of arbitrary constants in the general solution equals the order of the equation: 4.

More Order and Degree of Differential Equations questions

1. Determine the order and degree of the differential equation ≤ft(d2y/dx2 )3+5dy/dx-3y=0.
2. Determine the order and degree of x≤ft(d3y/dx3 )2+≤ft(dy/dx )4=y.
3. Determine the order and degree of the differential equation sqrt(d2y/dx2)+dy/dx=x, after clearing the radical.
4. Classify the differential equation dy/dx+P(x)y=Q(x).
5. Determine the order and degree of ≤ft(dy/dx )2+2xy=x2.

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