Math, asked by abhisekpalit14pdho8v, 1 year ago

Y = a cosx + b sinx form the differential equations

Answers

Answered by julianviera45
1

any point = | y dy/dx|


So differentiating with respect to x we get,


y dy/dx = ±8 ⇒ y dy = ±8 dx ⇒ y 2/2 =   ±8x + c


y2 = 16 x+2c1, if c1= -8    or 


y2 = -16x +2c2, and c2= 24


Hence  (A), (B) are  correct answers.


2. Equation of a curve that would cut x2 + y2 - 2x - 4y - 15 = 0 orthogonally can be;


(A) (y-2) = l(x-1)                                                 (B) (y-1) = l(x-2)   


(C) (y+2) = l(x+1)                                                   (D) (y+1) = l(x+2)   where l ∈R.


Solution: Any line passing through the center of the given circle would meet the circle orthogonally.


Hence (A) is the correct answer.


3. Let m and n be the order and the degree of the differential equation whose solution is y = cx +c2- 3c3/2 +2, where c is a parameter. Then,




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