2. What is the solution of a 3rd order homogeneous linear ODE whose roots of the characteristic equation are given by r=-1, r= -1+ 4i ? What is the long term behavior of the solution? Sketch the graph of the solution.

Q: y"+y' - 2y = x2

A: Solution :-

Q: Give an example of Linear Regression with complete solution.

A:

Q: Given a second order ODE equation of a beam. d²y dx² 7200y (30,000000)(120) = (5400)x(75-x)…

A:

Q: 1 Since of the equation is inexact. 7 c) (Sy-2x)y-2y P= -24 9 = (sy-2x); Since oy др = 52²-2xy ye 1…

A: The solution you have solved, is incorrect.

Q: From 2/ If the movement of the decayed harmonic ampere is given by the following equation in units…

A:

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A: I have explained everything within the solution .please go through that.

Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

A:

Q: Differential Calculus Find the third derivative of the ff: 1) y x 1-ex 2) y = 2ex - 8x 3) y = 6ex -…

A: We have to find the third derivative of the given function.

Q: Question 29 Find y' by implicit differentiation for 4x2 y7 - 2x = x+ 4y3. 8xy7+5x++2 y'= 12y2-…

A: Let's find.

Q: Find the d. c. of T from definition.

A:

Q: Question 20 Find the derivative: x²(x² + y²) = y² y = - fo Ov fi P r(2x+y) (1-²) v(22:²-²) x(1+z²)…

A:

Q: 1. Let D = the sales of DVDs in billions of dollars, S = the total sales of streaming videos in…

A: The sales of dvds given as the function D = -0.92t + 8.75 and the total sales of streaming videos…

Q: y = x³ + 4x - 15 at x = 0

A: Formulas to be used: 1) Newton's Forward Difference Formula The formula for the forward difference…

Q: Question 4 What is the second derivative of y = csc* (2x) ? A y"= -8 csc“ (2x) cot (2x) B y" = 16…

A: Please see the answer below.

Q: Q3 / Find the solution of non-linear ODES below: y' +xy = 2xy %3D

A: The general solution of the differential equation is as follows below:

Q: State the order of the given ODE. Determine whether the equation is linear or linear. Also explain…

A: Order of differential equation: The order of differential equation is the order of highest…

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: Differentiation. Find the value of the derivative of (iz + 6z2)° at 4i.

A: Let us define function f as                             f(z)= iz3+6z23

Q: Find the derivative of y with respect to x. 6х + 11 y = - csc 7 O A. 42 |6x + 11|V(6x + 11)2 – 49 O…

A: ddx(cosec-1x)=-1xx2-1

Q: (8) Find the linear approximation of the function f(x) = Va at a = 25 and use it to approximate the…

A:

Q: -1 GTiven A=( 2-니 3 ) and ()A find A -3 H possible. It not state youre Teasoniong

A: Given: A=−132−4find:A5−6=?−34A=?

Q: solve the ODE using the Method of Undet Coefficients. Clearly label y, and y, and then state y =…

A: Introduction:   A differential equation is an equation that contains the derivative of an unknown…

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: by s- differentiation find L(te-3t) = 1 .aO (s- 3) 1 .b O (s-3)2 (s+3) .dO (s+3) 2 1.

A: The solution is given as

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A: A differential equation of the formis called a linear differential equation and its integrating…

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A: Hiven differential equations are (a)  and (b) .We need to find the auxiliary equation and then…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.