Give the substitution that converts the given nonlinear equation into a linear equation then find the general solution y'-y = - y² a. y(x) = b. y(x) = c. y(x) = d. v=3 1 1+ Ce-t 2 1+e-2x e¹[t + 1 + e] t6 + 1

Q: Solve y(6) — 5y(4) + 16y" +36y" - 16y' - 32y = 0. Include a plot of the solution curves.

A: There is no conditions, so i plot the six independent functions separately.

Q: The linearization of y = (6x- 11)2/3 at a = 2 has the form L(x): = mx +b, Find the values of m and…

A: We have to find out

Q: Apply the point-slope formula with x₁ = 3, y₁ = 1, and m = −4. m y-y₁ =3(x-x1) y−(1) = −4[x-(3)]

A: Step 1: Given, Point (x1, y1) = (3, 1), slope = m = -4.we want equation of line by using point -…

Q: y? + 3xy Solve the IVP y' y(1) = 5 using appropriate substitution. x2

A:

Q: Solve for a linear equation? P(t)y'' + Q(t)y' + R(t)y = S(t)

A: We have to solve for a linear equationPty''+Q(t)y'+R(t)y=S(t)

Q: (x – y)² = 2ax, find the y'if a is a constant x+y a. a-x-y a-x-y b. x+y x+y+a C. x-y x-y-a d. x-y

A: Differentiating the expression with respect to x

Q: 11. Reducing the General Equation One solution of the equation y" - 2by' + b²y = 0 is y₁(x) = ebx.…

A:

Q: x2 dx+(x3+y6+2y5)dy Give an implicit solution

A: we need to find out the solution of the differential equation.

Q: Use the linearization L(3,-2) (x, y) of f(x, y) = -x²y-xy² near the point (3, -2) to approximate the…

A:

Q: Find a general solution to the equation y" + 10y' + 9y = 0. Check your answer by substitution. NOTE:…

A:

Q: A company produces two types of solar panels per year:x thousand of type A and y thousand of type B.…

A: Given that,

Q: iven are five observations for two variables, x and y. x, 12 3 4 Y, 4 7s 10 14 a) Develop a scatter…

A: Solution: x y (x-x) (x-x)2 (y-y) (x-x)(y-y) 1 4 -2 4 -4 8 2 7 -1 1 -1 1 3 5 0 0 -3 0 4…

Q: Find the x- and y-intercepts of the graph of the equation. y = 3/4x-6 x−intercept     (x, y) =…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…