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: (x-2)(dy/dx) – y =(x-2)3 solve homogenous equation by linear equation method

A:

Q: 1. y = 1+3x-x2

A: Since there are more than one question, only one question is to be answered. A function is given by,…

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: Solve for the value of C in the equation: O A. 1 О в. 2 O c. 3 O D.-1 (2xy4e³ + 2xy³ + y)dx +…

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

A:

Q: d³y d?y dy = y + 4 а. dx3 dx² dx d³y d²y dy b. dx3 — у+4 сos xх dx dx² d²y_d²y dy С. dx³ —D у+4сos y…

A: As we know that; The standard form of the linear differential equation is:…

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: Solve the nonlinear ODE Ay''+Byy''-y=0, where y=y(x) and A,B are constant

A: The given nonlinear ODE is: Ay"+Byy'-y=0 where y=yx and A,B are constants.

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: Q1. Solve the following first order equations: (b) (e* + y)dx + (2+ z + ye")dy = 0, y(0) = 1. %3D…

A: EXACT DIFFERENTIAL EQUATION,

Q: Solve the exact equation 2xydx + (x² + 3y2)dy=0 with the initial condition y(2) = 1. Write the…

A:

Q: Use the linear method to solve: xy' - 6x²y = 3x²; y(0) = 3

A:

Q: Q2/ Classify the following equation as linear or not, and if not, what type of linearity it is: u; -…

A:

Q: Find a constant solution of y′ = t2y - 5t2.

A: we have to find a constant solution of  y'=t2y-5t2

Q: Eliminate the arbitrary constant. 2x y=c₁' e B A y"-y'- 2x=0 C -X (D) +c_e 2 y"-y'-2y=0 2y"-y'-2x =…

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: Show that a linear equation dy a(x)- + b(x)y = c(x) d.x %3D is exact if a' (x) = b(x).

A: Given linear differential equation axdydx+bxy=cx.....1 We have to show that the given differential…

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

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Q: I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear.…

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Q: 4. 3√(1 +¸y″)² = [2x*y³ + (v″)*]

A:

Q: DE 2 1. xy(5)-(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

A:

Q: (x+1)3 solve for y'. %3D x2

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Q: Solve the DE: (2-x) y³ +(2x-3) y'' - xy' + y = 0, x<2, given that y(x) = ex is a solution of the…

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

A:

Q: 5. Find the general solution of (x + y+ 1) dx + (x – 3y – 7) dy = 0 x? - 3y2 + 2xy + 2x x2 + 3y2 +…

A: To find  The general solution of the given differential equation.

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: 2. y=0,2x - 4 29 31 33 35 37 30 32 34 36 (38)

A: Make the table values of the equation  y= 0.2x -4

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,…