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1. y²dx-(xy+y²)dy=0
Let substitution v=y/x ; y=vx ; dy= vdx+xdv
2. x²dy+(2xy-y²)dx=0
Let substitution v=y/x ; y=vx ; dy= vdx+xdv
Waterisbeingpouredattherateof2⇡m3/min.intoaninvertedconicaltankthat is 12-meter deep with a radius of 6 meters at the top. If the water level is rising at the rate of 61 m/min and there is a leak at the bottom of the tank, how fast is the water leaking when the water is 6-meter deep?
The diameter of a Ferris wheel is 10 meters. From a platform 2 meters above the ground, you board the Ferris wheel at the bottom. Determine an equation for a rider's height in relation to time if it takes 35 seconds to reach the summit. Sketch the graph.
A random sample of size 4 is taken with replacement from a population with mean 12 and variance 8.Determine the mean ,variance,and standard deviation.
Determine the form of a particular solution for each differential equation. No need to solve for the general solution of the differential equation.
1. y'' − 3y' + 2y = xe^x + 1
Find the compute integral of the differential equation:
xp +3yq =2(z-x²q²)
Find the integral surface of the PDE:
x²p + y²q +z² =0
which passes through the hyperbola
xy =x+y, z=1.
miller biker supply is one of manila as large as bakery needs supplier my life usually sell on credit and on the usual term intake 60 day for a customer received to be collected through in a demand nature of minor product it only takes miller 25 days to sell it supplies after being purchased from the supplier .On the other hand miller make use of a 30 days period before it pays its obligation to its supplier
A.compute the operating cycle
B.compute the cash conversion cycle
Find the general solution of the equation:
(x-y).y².u↓x - (x-y). x².u↓y -(x² +y²).u = 0
Solve (p + q)(px + qy) = 1, using Charpit’s method.
