
DIFFERENTIAL EQUATIONS
Authored by REVATHI PANNEER
Mathematics
University
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8 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
standard form for a pair of ordinary simultaneous equation of the first order but first degree
dx/p=dY/Q=dz/R
dx/l=dy/m=dz/n
dx/p=dy/Q=dz/R
dx/l+dy/m+dz+n
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Each ratio in equation dx/P=dy/Q=dz/R is equal to
dx+dy+dz/P+Q+R
ldx+mdy+ndz/lP+mQ+nR
Pdx+Qdy+Rdz/p2+Q2+R2
dx/P=dy/Q=dz/R
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general solution for the system of equations represented by dx/P=dy/Q=dz/R?
dx=ldx+mdy+ndz
dx/P=dy/Q=dz/R
dx=Qdy+Rdz
dx=ky+lz
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation dx/P=dy/Q=dz/R, what does the variable P represent?
Ratio of changes in x
Constant term
Sum of all variables
Coefficient of dx
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following represents a condition for the existence of a unique solution in simultaneous equations?
Determinant of coefficients is zero
Determinant of coefficients is non-zero
Sum of ratios equals one
All variables are equal
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for a system of equations to have infinitely many solutions?
All equations are independent
Determinant of coefficients is zero
At least one equation is redundant
Determinant of coefficients is non-zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following forms represents a linear combination of variables in a system of equations?
e^{x+y} = z
x^2 + y^2 = r^2
xy + z = k
ax + by + cz = d
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