{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MA232 Mid_Term Review I

# MA232 Mid_Term Review I - 1 Solve the following dierential...

This preview shows pages 1–2. Sign up to view the full content.

1. Solve the following di/erential equations using elementary methods you like. For each problem, °nd a general solution. If the problem has boundary conditons, °nd a particular solution responding to the given boudary conditions. 1) y 0 = 1 + x + y + xy 2) x dy dx ° y = 2 x 2 y; y (1) = 1 3) xy 0 = 2 y + x 3 cos x; y ( ° ) = 2 4) 2 xy 0 + y = 10 p x 5) xy 2 dx dy = x 3 + y 3 ; y (1) = 0 2 : Find the roots of the equation 1) z 3 + 1 = 0 2) z 2 + 3 z + 3 = 0 3 A = ° 2 1 4 3 ± ; B = ° ° 1 0 4 3 ° 2 5 ± ; Find AB; and BA 4 C = ° 1 ° 1 1 1 ± ; Find C ° 1 , and det C 5 : An arrow is shot straight upward from the ground with an initial velocity of 160 ft/s. It experiences both the deceleration of gravity and deceleration v 2 = 800 due to air resistance. How high in the air does it go? 6. During the period from 1790 to 1930 , the U.S. population P ( t ) ( t in years) grew from 3.9 million to 123.2 million. Throughout this period , P ( t ) remained close to the solution of the initial value problem dp dt = 0 : 03135 P ° 0 : 0001489 P 2 ; P (0) = 3 : 9 (a) What 1930 population does this logistic equation predict?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 6

MA232 Mid_Term Review I - 1 Solve the following dierential...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online