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Mathematics | Differential Equations

Formation of a Differential Equation Higher Order Linear Differential Equations with Constant Coefficients Order and Degree of a Differential Equation
The numbers of arbitrary constants in the particular solution of a differential equation of third order are:
The order of the differential equation of all conics whose center lie at origin will be
What is the order of the differential equation whose solution is y = a cos x + b sin x + ce-x + d, where a, b, c and d are arbitrary constants?
The Order of Differential equation whose solution is y = msinx + ncosx where m, n are arbitrary constants
Y = 4X3 - 6X2 + 15X – 19 and Z = 3X2 + 5X - 9. Find the value of (dY/dX) (dZ/dX) when x = 1.
What is the number of arbitrary constants in the particular solution of differential equation of third order?
Which among the following statement is NOT correct regarding differential equations?
Form the differential equation of y = ae3x cos(x + b) Where y' = \(\rm \frac {dy}{dx}\) and y" = \(\rm \frac {d^2y}{dx^2}\)
The following differential equation is yy''+(y''')2 + xy' = yx2 Where y' = \(\rm \frac {dy}{dx}\), y" = \(\rm \frac {d^2y}{dx^2}\) and y"' = \(\rm \frac {d^3y}{dx^3}\)
Consider a differential equation of order m and degree n. Which one of the following pairs is not feasible?
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