Find the general solution of the differential equation 3y" – 4y – 4y= 0. Select one: 2y = cet + cze 24/3 %3D O 2y = c1e4 + cze"/3 %3D -2t 2y = ce 4 + cze 24/3 %3D none of the given answers is true O 2y = ce t + cze24/3 %3D

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Q: Which of the following is the general solution to the differential equation (3s-2t + 1)ds = −(3s −…

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Q: Show that y = 3x et +e-3x is a solution of the differential equation y' + 3y = 3ex. 4 y = 2ex + e-3x…

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Q: (6) Show that the solution of the differential equation dr 3 + dy 3(y + 1) is r (y + 1)³ + c y +1 y…

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Q: Find the general solution of the differential equation: dx/dt = 5x - 3. (1/5)[In(5x + 3)]= t + c O…

A: Given that: dxdt=5x-3

Q: Find a particular solution to the differential equation 2y" – 3y' + ly = -lt² – 2t – 2e“. Yp =

A: Given differential equation is, 2y"-3y'+y=-t2-2t-2e4t Let y=emt(≠0) be a trial solution of this…

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Q: Find the Wronskian of two solutions of the differential equation without solving the equation: t'y"…

A: We know that, We are given the differential equation t2y''+3t(t+1)y'+y=0. So,…

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Q: The differential equation (y³ + 6xy+)dx + (3xy? + 12x² y³ )dy = 0 is (Select the correct answer)…

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Q: Match the differential equation with it's particular solution form. | y’’ – 6y' + 9y а. Ate 2t |y'’…

A: We have to match the following differential equation with it's particular solution form.

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Q: 2. Determine the solution of differential equation de + Q = 4 given that given that dt 10+2t Q(2) =…

A: As u mentioned to solve number 2, solution of the same is attached in next step. Given : dQ/dt +…

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Q: Find the solution of the given differential equation. (2r²t-2z') dt + (4z³ – 6z²t + 2zt²) dz = 0

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Q: u' - 5u = ve-5v

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Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

Q: What form of the particular solution is appropriate for the differential equationy "'- y'=4? A B C D…

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Q: Solve the Higher Order Linear Differential Equation: 1. yIV+16y=0 2. yV+18y'''+81y'=0

A: Topic= Differential equation

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Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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Q: Show that  y =  3 4ex + e−3x  is a solution of the differential equation  y' + 3y = 3ex. y =  3 4ex…

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Q: Solve the given differential equation (2x – y + 2) dx + (6x – 3y+1) dy = 0 O 91z – 21y – 5 ln(14x –…

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Q: Solve the second order differential equation ÿ + ỷ – 6y = 8e* + 3x 1 A:y = ce2x + c2e-3x + 2e* + 12…

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Q: Find the solution of the differential equation that satisfies the given initial condition. dy = (8x…

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Q: Solve the differential equation y' – 3y = 4et at y(0) = 6. O y = 4e3t – 2e5t %3D | O y = 4e¬3t +…

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Q: Match the given differential equation with one or more of the solutions. (Select all that apply.) y'…

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Q: Form the differential equation if its solution is y=acos2x+bsin2x a. y"+4y=0 b. y" – 4y = 0 c.…

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Q: –7 + 12 d5x 7) 25 d*x -7- dt5 d²x + 12 dt3 + 8. = 0 dt4 dt2

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.