A student is solving the initial-value problem and obtains the following general solution: = 2x In r- 2x + c | What is the answer to the initial-value problem if the initial condition is y (1) = 0? %3D 2?e2y = 2x Ina 2x + 3 2'e2y = 2x In x 2x + 2 = 2x In x 2x O ze2y = 2x In x - 2x- 3 * Previous Nex

Q: V5-X +|= Vー4×

A: We need to solve 5-x+1=-4x. So,                 5-x+1=-4xSquare both…

Q: 2.) Solve the following equatior

A: Solve the following equation23(x-4)=14(x+1)x=?

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: (1+ ye" + xye")dæ + (xe² + 2)dy = 0 C = xye² + 2y+ x C = xye" – 2y – x %3D - Option 3 O Option 4 C =…

A: ANSWER: Option 3.

Q: s+7 nd the Inverse Laplace Transform of $2– 3s – 10 12 – 5t A 7 B 12 7 12 7 5 7

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Q: If f(x) = x² – 2x & g(x) = 3 – x then solve the equation a) (fog)® = 0 b) (gof)) + x² + 5 = 0 &

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Q: 1. y = 3x? – 2x4 - 3x3 + − − 2x + 1; y(4) - 8

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Q: Q1/ find the solution to + (1-4h?)y-ein(2n) -0 %3D y(0) = 0.2.

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Q: (D + 2)x + (D + 4) ỵ = 1 (D + 1)x + (D + 5) y = 2

A: Given simultaneous equation is D+2x+D+4y=1    (i)D+1x+D+5y=2    (ii) Eq. (i) can be written as…

Q: The equation 5z + zy = C is the general %3D Sz- 10 - A 10

A: The general solution of the differential equation: - A differential equation is an equation that…

Q: Find the solution to the 4x + y = 0 4x+y3D -8

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Q: Find solution using graphical method MAX Z = -2x1 - x2 subject to -3x1 - x2 = 0

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Q: 35. Solve this auxiliary DE y"" – y" – 4y = 0,when x = 4, y = 0

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Q: Solve the difference equation In+2 + In+1 – 2.x, = 0 subject to the initial conditions ro = 1 and r…

A: To find- Solve the difference equation xn+2 + xn+1 - 2xn = 0 subject to initial conditions x0 = 1…

Q: 5). If you have a problem with one dependent variable and two independent ones, show how the errors…

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Q: Find the general solution of tx -3x = t³+2t for t> 0.

A: Given DE is  tx'-3x=t3+2t .......(1) We find the general solution of (1).

Q: Solve (x – 2)(x + 1)(x – 4) = 0

A: Question:- solve x-2x+1x-4=0 Here, x-2x+1x-4=0 or we can take it as:- x-2=0 or  x+1=0 or  x+4=0

Q: Two balloons, one red and one green are released from a platform at t=0. Each balloon goes up for a…

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Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

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Q: Solve for x in 7-3x=2x-3

A: We need to solve for x in 7-3x=2x-3. The solution is given below.

Q: Find the general solution of the DEs 1- f"(x)= y"(x)=12x +6x-8

A: The given differential equation is a second order differential equation so we will first reduce its…

Q: 4. Obtain the general solution (D³ + D² - 9D - Dly = 6e*+ 3° 3x 3xe

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Q: Q3//A/By using co- factor 1 -2- if AD find A1 =? %3D 3. 2-

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Q: -7x+/y=-19 -2.x+ 3y =-19

A: Given query is to find the solution of system of equation.

Q: (³ +2w)® 6. Find dy/dx, given the following: y = /2x–4 3(3=° +2) (z"+2) O (E) None of the choices…

A: Formula ddxuv=vdudx-udvdxv2 ddx(xn)=nxn-1 ddx(x)=12x 6. Given y=(x3+2x)32x-4 Differentiating with…

Q: let A nonsingular matrix, k positive integer then (A5 Select one: k+1 k-1 b. (A,*1

A: As per the policy i can solve only first question for you, fore remaining question you can post them…

Q: Solve 1. (z - 4) s(3z + 2) 2. X+8(x+1) > 3(2-x)+x

A: Given; 1.  (8/6) (z-4)<=(2/18)(3z+2) 2.  x+8(x+1)>3(2-x)+x

Q: a'z Q.4 Solve a'z Z. -2- 2e +3x'y

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Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

Q: An automobile costs $20000 when sold brand new and depreciates at a rate of 10% per year. Which of…

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Q: Find the particular solution of each of the following. 1. (2х - 3у +2)dx - (Зх + 4у-5); у(-3) %3D 4

A: We know that M(x, y) dx+N(x, y) dy=0……(1) is a differential equation. Equation (1) is exact if and…

Q: (i) Y = ax + b

A:

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.