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A linear differential equation is of differential equation which can be written in the subsequent form.
an(t) y(n) (t) + a n-1 (t) y(n-1) (t)+..............+ a1(t) y'(t) + a0 (t) y(t) = g (t)
The significant thing to note regarding linear differential equations is as there are no products of the function, y(t), and its derivatives and neither the function nor its derivatives arise to any power other than the first power.
The coefficients a0 (t),.........,an (t) and g (t) can be zero or non-zero functions, constant or non-constant functions, linear or non-linear functions. Merely the function, y (t), and its derivatives are employed in finding if a differential equation is linear.
If a differential equation can't be written in form, equation (11) then it is termed as a non-linear differential equation.
a) Determine the distance traveled among t = 0 and t =∏/2 by a particle P(x, y) whose position at time t is given by Also check your result geometrically. (5) b) D
Q. Converting Mixed Numbers to Improper Fractions? Ans. Converting a mixed number to an improper fraction is easy. A single multiplication, and then a single addition:
Find out the surface area of the solid acquired by rotating y = √ (9-x 2 ), - 2 x 2 about the x-axis. Solution The formula that we'll be using here is, S = ∫ 2Πyds
predict whether there is a relationship between the mean January temperatures of a city in North America and the city''s position west of the prime meridian.
What is a rational number?
sin10+sin20+sin30+....+sin360=0 sin10+sin20+sin30+sin40+...sin180+sin(360-170)+......+sin(360-40)+sin(360-30)+sin(360-20)+sin360-10)+sin360 sin360-x=-sinx hence all terms cancel
Example of 3-D Coordinate System Example: Graph x = 3 in R, R 2 and R 3 . Solution In R we consist of a single coordinate system and thus x=3 is a point in a 1-D co
In triangle ABC if angle B = 90 degrees what is the value Tan A/2 in terms of its sided? Solution) tanA=c/b let tan(A/2)=x 2x/(1-x 2 )=c/b,solve for x
Mutually Exclusive Events A set of events is said to be mutually exclusive if the occurrence of any one of the events precludes the occurrence of any of the other events for i
The adjoining figure shows the cross-section of a railway tunnel. The radius of the tunnel is 3.5m (i.e., OA=3.5m) and ∠AOB=90 o . Calculate : i. the height of the
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