Ryabushko A.P. IDZ 6.2 option 20

Ryabushko A.P. IDZ 6.2 option 20

DHS - 6.2
Find y ´and y ".
№ 1.20. 3y = 7 + xy³.
Find y ´and y ".
№ 2.20. {X = exp (3t); y = exp (-3t).
№ 3.20. For a given function y and calculate the argument x0 ‴ y (x0); y = Ln (x² - 4); x0 = 3.
№ 4.20. Write a formula for the derivative of the n-th order for the function y = 7ͯ;
№ 5.20. Find out at what points of the curve y = x³ / 3 - 5x² / 2 + 7x + 4; tangent makes with the Ox axis angle π / 4.
№ 6.20. At what point of the parabola y² = 8x ordinate increasing twice as fast as the abscissa?

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