Find y as a function of a if = y"-7y" +12y = 6e², y(0) = 24, y' (0) = 16, y" (0) = 27. y(x)=

Find y as a function of x if y(1) = −4, y'(1) = −7. y = x²y" - 2xy' - 40y = 0,

Find y as a function of a if y(0) = 2, y'(0) = 9, y"(0) = 4. y(x) = y"" - 5y" + 6y' = 0,

Please don't provide handwritten solution .....

Find y' when ye2x = 3y+ x and y(0)=3

2. Sketch the graph of y = f(x) when, (a) f(x) = ex+2, (b) f(x) = Inx, (c) f(x) = = xx -x, (d) f(x) = X x +4' and (e) f(x) = secx.

Find derivatives

The equation of a curve is y =x'+ar + bx, where a andb are constants. (1) In the case where the curve has no stationary point, show that a < 3h. (II) In the case where a=-6 and b = 9, fìnd the set of values of x for which y is a decreasing function of x.

(1 point) Find y as a function of æ if y" + 4y' = 0, y(0) = -4, y' (0) = 6, y"(0) = –8. y(x) =