For Exercises 1–21, find dy/dx. Assume a, b, c are constants.
x^2 + y^3 = 8
x^2y − 2y +5=0
√x + √y = 25
ax^2 − by^2 = c^2
For Exercises 1–21, find dy/dx. Assume a, b, c are constants. x^2 + y^3 = 8...
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...
explain please 2. Which one of the following DE is exact? a. (x+y)dx+(xy+1) dy=0 b (e + y)<x+ſe+x)dy = 0 c.(ye* +1) dx +(e' + xy) dy = 0 d. (sin x+cos y) dx +(cos x +sin y) dy = 0 e. (eº+1) dx +(e? + 2) dy = 0 3. The solution of the following separable DE xy' =-y? is a. y= '+c b. y=- c. y = In x+c In x+c d. In y=x? + e. yer+C 4....
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)
Consider the following initial value problem: dy = sin(x - y) dx, y(0) 1. Write the equation in the form ay = G(ax +by+c), dx where a, b, and c are constants and G is a function. 2. Use the substitution u = ax + by + c to transfer the equation into the variables u and x only. 3. Solve the equation in (2). 4. Re-substitute u = ax + by + c to write your solution in terms...
Please answer #2 A and B for the Lightbulb problem "dy", etc. (a). The marginal density, fr (y), of Y. (Be explicit about all cases.) (b). P(X > 0.1 IY 0.5) (c), E(X | Y 0.5) 2x +2y ) dy 3y: if 0 y < 1, and 0 otherwise 0.1 r2x +2 (0.5) (3) 0.5 dx 64/75 2x +2(0.5) (3)0.52 dx- 5/18 2. Let Y be the lifetime, in minutes, of a lightbulb. Assume that the lightbulb has an expected...
Find the solution to the initial value problem: dy dy/dx=x^ 2√1 + x^3/1+cos y y(0)=2 the 1+x^3 is all in square root.
Use logarithmic differentiation to find dy/dx. y = xy - 8 x > 0 dy dx Need Help? Read It Talk to a Tutor
hw help Consider the equation exin(y)+5x +1=y? Find dy dx in terms of X and y. Evaluate dx at (x,y) = (0,1). Select the correct answer. -5 5 ООО 2 Suppose that 3 xy2 = x²y + y2 + 14. dy Use implicit differentiation to find an expression for in terms of both X and y. dx dy Now give the value of when x = 3 and y = 2 dx -36 13 3 0 24 41 о ....
Please answer number 2 & not number 1 Ln(x) e = x Exercises VI 1. (Bonus) Prova 2. Find the general solution. z = 7? COS (*) = 2ze (a) y + 4y (b) y + sin(x) y dy + xy dx (d) dy + 2y (e) dx (c) 2 χ 8x² cos? (x) dx ت = ay dy sin (3x) dx - Х dy = Ln(y) dy
3. Find the values of dy and Ay for y = 2x2 + x - 3 when x = 2 and Ax=dx=-0.03 Ay = f (x+ Ax) - S (x) and dy = f'(x) dx Go to four decimal places.