Q7 of 462 Page 22

Mark the correct alternative in each of the following:
The differential equation obtained on eliminating A and B from y = A cos ωt + B sin ωt, is

y = A cos ωt + B sin ωt ---(1)

Since we need to eliminate A and B, so we differentiate (1) twice.

Differentiating (1) w.r.t t we get,

Again differentiating (1) w.r.t t we get,

⇒y'' = -ω² y

=(C)

Mark the correct alternative in each of the following:

The degree of the differential equation is

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The general solution of the differential equation is

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The equation of the curve whose slope is given by x > 0, y > 0 and which passes through the point (1, 1) is

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The order of the differential equation whose general solution is given by

y = c₁cos (2x + c₂) – (c₃ + c₄) a^x^{+ c5} + c₆ sin (x – c₇) is

Mark the correct alternative in each of the following:The differential equation obtained on eliminating A and B from y = A cos ωt + B sin ωt, is