bernoullis equation
(1+x) (y' + y²)-y=0
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(1+x) (y' + y²)-y=0
paano po sagutan to?
A ship is traveling at a speed of 20 knots. (A knot is a nautical mile per hour, a nautical mile being approximately 1.1516 statute mile of 5280 feet each.) When directly opposite a target it fires a gun whose projectile has a velocity of 2000 feet a second. At what angle with the direction of motion of the ship must the gun be pointed in order to hit the target?
A 25-kg block rests on a 30° rough incline. The coefficient of static friction between the block and the surface is 0.40. The block is at rest.
2xy' + y³ e^(-2x) = 2xy
17. At what speed must a 1000kg car approach a ramp which has a slope and 12m high at the top such that it will just coast to the top. Assume the constant retarding force due to friction, wind, etc. to be 60kg.
The given two-parameter family is a solution of the indicated differential equation on the
interval (−∞,∞). Determine whether a member of the family can be found that satisfies the
initial conditions.
y = c1e^x cos x + c2e^x sin x; y" − 2y' + 2y = 0,
i. y(0) = 1, y'(π) = 0
ii. y(0) = 1, y(π) = −1
Juan plans to raise a new building of 1 million. He raise the building by issuing 10%, 20 yr bond that would pay one hundred fifty thousand interest per year an repay the amount of maturity he can least it for Php 140,000 per year. First payment being due one year from now. The building has an expected life of 20 yrs. ignoring effects on income tax, what is the difference between buying the building and leasing it?
find a general solution
dx/dy =[ -2x (csc 2y – 2x3 cos 2y)] / sec 2y
A constant horizontal force of 10 lb rests on a body of smooth horizontal plane. The body starts from rest and is observed to move 250 ft in 5s.
a). What is the mass of the body?
b). If the force ceases to act at the end of 5s, how far will the body move in the next 5s?
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