MCQ-SLIP TEST-BTECH

A differential equation is said to be --------if the dependent variable and its differential coefficients occur only in the first degree and not multiplied together.

• linear

• non - linear

• homogeneous

• non-homogeneous

• Bernoulli's equations

• Gaussian equations

• Besseles equations

• Legendre's equations

Order of the differential equation representing the family of parabolas y2 = 4ax is ----

• 2

• 4

• 1

• -2

If the given equation on solving for x, takes the form x = f(y, p) then the assumed solution is --------

• F(y, p, c) = 0

• F(x, p, c) = 0

• F(y, dp, c) = 0

• F(dy, p, c) = 0

• 3

• 2

• 1

• not defined

Classify the following differential equation: dz/dt=1+z+t+zt.

• Linear and not separable

• Separable and not linear

• Both separable and linear

• Neither separable nor linear.

Classify the following differential equation: dx/dt=(x+2xt+cost)/1+t²

• Linear and not separable

• Separable and not linear

• Both separable and linear

• Neither separable nor linear.

• 1

• 2

• 3

• 4

The order of the differential equation of all circles of given radius a is ---

• 1

• 2

• 3

• 4

• Separable and not linear

• Linear and not separable

• both separable and Linear

• Neither separable nor Linear