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Differential - Calculus - Quiz, Exercises of Calculus

Main points of this past exam are: Differential, Function, Satisfy, Values, Initial, Value, Problem

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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parveen 🇮🇳

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MA126 CALCULUS II SUMMER 2002
July 2002 QUIZ 5 Jellett
SCORE
NAME:..........................................
/40
1. For what values of rdoes the function y=ert satisfy the differential equation
y00
−2y0
−15 = 0?
2. Solve the following differential equations.
(i) xy0=x+ 1
(ii) dy
dx =e3x
6y5
(iii) dx
dt = 6 −2t+ 3x−xt
pf2

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MA126 CALCULUS II SUMMER 2002

July 2002 QUIZ 5 Jellett

SCORE NAME:.......................................... /

  1. For what values of r does the function y = ert^ satisfy the differential equation y′′^ − 2 y′^ − 15 = 0?
  2. Solve the following differential equations. (i) xy′^ = x + 1

(ii) dydx = 6 ey^3 x 5

(iii) dxdt = 6 − 2 t + 3x − xt

  1. Solve the initial value problem 1 + x = 2xyy′, y(1) = − 2

4.the limit of the sequence, if it exists.(bonus) Determine whether the following sequences converge or diverge, and give

(i) an = 3 1 + 6n + 2nn^22

(ii) an = (^23) nn+