2 Differential equation of the curve is 3x dy 3 Curve is

Last updated: 1/5/2023

2 Differential equation of the curve is 3x dy 3 Curve is passing through 4 Normal at 1 1 is x 3y 4 15 y c x C sin 2x C3 C C C3 are arbitrary constants 1 Order of differential equation is 2 2 Order of differential equation is 3 3 Degree of differential equation is 1 A 4 The differential equation is yd y dy d y 0 3 dx dx esis 6 Which of the following statements is are true 1 An integrating factor of the differential equation dy 2y x sinx is x dx X 8 dx y 0 2 An integrating factor of the differential equation xdy ydx x y dy is 1 X 100 mm 3 An integrating factor of the differential equation dy x xy cotx cosecx is sin x dx 4 An integrating factor of the differential equation 1 y dx x dy xy x dy y dx is y curve passes through 1 0 and satisfies the efferential equation 2x cos y 3x y dx 3 x siny y dy 0 The equation of curve is The equation of curve is x cosy x y y 1 pan 3 The equation of normal The equation x cosy x y x cosy x y 12 2 at 1 0 is y 0 2 14 01 in x 1 answered Each question has 4 choices 1 4 out of which only one is correct Comprehension l Newton s law of cooling states that the ra of the temperature T of an object is propo difference between T and the constant t of the surrounding medium we can write dT dt k T t k 0 constant An cup of coffee is served at 185 F in a ro temperature is 65 F 2 minutes later the t the coffee has dropped to 155 F loge 3 1 09872 loge 0 2877 3 4 Choose the correct answer 1 The temperature of any object at 1 Tek T 0 e 2k 2 tek 2 3 3 T T 0 T e 2k 4 T Time required for coffee to have 10 1 6 minute 2 6 4 3 7 23 minute 4 7 6 CUR Temperature of coffee at time ti 1 65 120e kt 2 75 3 65 140e 2kt 4 75 Comprehension Il Isogonal Trajectories Let the trajectories cut the curve o angle a where tan k tand of the tanger dy T ta dx trajectory are connected by the r AY dy The slope onleenq dx family and the slope a