If y=7x^3-4x /4x^2 +8 Then dy/dx = ??? The answer is 7x^4 + 46x^2 -8 / 4 (x^2+2)^2 but, what are the steps to get this answer.?
Let y=5x2+7x+3 Find the differential dy when x=2 and dx=0.4 Find the differential dy when x=2 and dx=0.8
Obtain the general solution to the equation. (x²+3) dy dx + xy - 7x = 0 The general solution is y(x) = ignoring lost solutions, if any.
dy 7. Determine the general solution to : x = x+y dx 8. Solve the DE (x - y)dx +(y – x)dy dy 9. Determine the general solution to : x? + 3xy = dx dy 10. Determine the general solution to : xy = 4x² + y2 dx 1 X
Reverse the order of integration in the following integral. 49 Vy flx.y) dx dy Oy77 Choose the correct reversed integral below. A 7x 7 49 7x [(x,y) dx dy [r(x,y) dy dx 720 OC. 77x D. 7x7 JJ f(x,y) dy dx fix.y) dy dx 02 Click to select your answer.
x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a) x dx dy + y) dx dy 0 (b (d a)(c) Answer: (a)
Determine dy/dx for y=8x^3 sin^ −1x .
Find dy/dx by implicit differentiation. x?y? - y = x dy/dx =
(a) [1[*(2x*y + 4y2) dy dx (b) ["" ["(y cos(x) + 6) dy dx cos [**(buye* * *) ay ox (a) LiS.*r-* log(4) dy dx (-x log(y)) dy dx -Il
4. Consider the homogeneous differential equation dy d y dy-y=0 dx3 + dx2 dx - y (a) Show that 01 (C) = e is a solution. (b) Show that 02 (2) = e-* is a solution. (c) Show that 03 (x) = xe-" is a solution. (d) Determine the general solution to this homogeneous differential equation. (e) Show that p (2) = xe" is a particular solution to the differential equation dy dy dy dx3 d.x2 - y = 4e*...