완전미방 (1+xycos y + x sin y) y’ + ysin y = Ax^2
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그 밖의 기능
math
완전미방 (x+y)^2 dx + (2xy+x^2 -1)dy = 0
완전미방 (x+y)^2 dx + (2xy+x^2 -1)dy = 0
역제곱법칙과 타원궤도
Proof of Kepler’s first law from Newtonian dynamics
A planet orbits the Sun in an ellipse, with the Sun at one focus of the ellipse.
변화율 계산
If in a hemispherical bowl of radius r the water is h unit deep, then its volume is ginen by the formula V = ⅓(pi)h²(3r – h). Water is leaking out a hemispherical punch bowl with radius 20 cm at a rate of 36 cm³/s. At what rate is the depth of the water decreasing when the water is 4 cm deep.
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