First Order Differential Equation
find the general solution
2y ln y dx - x (1 + 2x ln y) dy = 0
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find the general solution
2y ln y dx - x (1 + 2x ln y) dy = 0
a soccer ball with mass 0.420 kg is initially moving with speed 2.00 m/s. a soccer player kicks the ball, exerting a constant force of magnitude 40.0 N in the same direction as the ball's motion. over what distance must the player's foot be in contact with the ball to increase the ball's speed to 6.00 m/s?
y' = (x + xy^2)/4y
Water is flowing through a pipe having diameter 300mm and 200mm at the bottom and upper end respectively. The intensity of pressure at the bottom end is 24.525 N/cm^2 and the pressure at the upper end is 9.81 N/cm^2. Determine the difference of elevation of the two ends if the rate of flow is 40 liters/sec. Assume no head loss.
Hello,
I'm writing because I have a problem that I don't know how to solve.
I would be thankul if someone could help me solve this problem.
The problem is as follows:
can anyone help with Hoists and Haulages in engineering mechanics?
To develop an oil well containing 2,000,000 barrels of oil required an initial investment of PhP 30,000,000.00. In a certain year, 400,000 barrels of oil were produced from this well.
The total gross income of the oil company is PhP 34,000,000.00 for the particular year, and the taxable income after talking all deductions, except for depletion, is PhP 14,100,000.00. Determine the allowable depletion allowance for the year.
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
The solid compound shaft, made of three different materials, carries the two torques shown. (a) Calculate the maximum shear stress in each material. (b) Find the angle of rotation of the free end of the shaft. The shear moduli are 28 GPa for aluminium, 83 GPa for steel and 35 GPa for bronze.

The problem2x5y'=y(3x to the 4+y squred =0
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