Which of the following is the general solution of the differential equation In) = -2y? 5x 5x e2y a. = C 5. 3 2y e5x + C + C a.-* - c e2y %3D e. None of them

Q: Which of the following is the general solution to the differential equation dx - (x – Jx² + y²)dy =…

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Q: Which of the following is the general solution to the differential equation G dx + (In(2x – 2) +) dy…

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Q: Question The general solution of the following differential equation y(4)-16y 32x %3D is:

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Q: Which of the following most nearly gives the general solution for the differential equation (D² – 4D…

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Q: Which of the following best represents the particular solution of the differential equation: y" –…

A: The given differential equation is y''-6y'+9y = 6x2+2-12e3x ⇒ D2-6D+9 y = 6x2+2-12e3x ⇒ D2-2·D·3+32…

Q: Which of the following is the general solution to the differential equation (у - 2)dx — (х — у—1)dy…

A: The given differential equation is y-2dx-x-y-1dy=0 To find the general solution

Q: Which of the following is the solution to the differential equation dy = y³ce² that satisfies the…

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Q: 15. Which of the following is the general solution of the differential equation 2xy dx + (4y + 3x^2)…

A: Explanation of the answer is as follows

Q: Which of the following functions (there may be more than one) are solutions of the differential…

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Q: y = x + C,e* + C2e¬* y = x² + Ce2* + Cze3*

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Q: 4. Which of the following is the general solution of the differential equation x dy + y dx = x^2 dx?…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Which of the following is the particular solution to the following differential equation y" + 2y' –…

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Q: Which of the following differential equation has a solution of y = C,x³ + C2x ? 4y = 3x?y' – x³y" 3y…

A: To find which option is correct: We first find y' and y'' of  y = C1x3  +  C2 x and then we will…

Q: If the general solution of the following differential equation is written as (x) = c1rª + c,xB,…

A: Use cauchy euler substitution and find complementary function

Q: Which of the following most nearly gives the differential equation that is free of arbitrary…

A: The detailed solution is given below Thank you

Q: 1. Which of the following is the general solution of the differential equation Oy²=x² +C að

A: We will solve the differential equation.

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

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Q: 4. Which of the following functions is(are) solution(s) to the differential equation d²x dx 4 + 4x =…

A: Topic- differential Equation

Q: Suppose dn 1 dt 10n and n(1)-2. Answer the following. 8) Separate the differential equation, then…

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Q: Which of the following is the general solution to the differential equation t dy 6te2t + y(2t – 1) ?…

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Q: 2)2 0- p-( - 2np) לק יב xy P

A: Given: xy p3+x2-2y2p2-2xy p=0

Q: y = y2 y = Yı)

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Q: 20. Which of the following best represents the particular solution of the differential equation: y"…

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Q: Find the general solution of each of the following differential equation: (a) yº +5y" + 10y" + 10y"…

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Q: Give the general solution of the differential equation y"+ 6y'+ 5y =3x+ 2 -5x 3 e 25 5 8 3 b) O y=C,…

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Q: dy dr 3 6

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Q: Which of the following is a solution to the differential equation y" – 3y' + 2y = 0? %3D a. e* b.…

A: We will find out the solution of given differential equation.

Q: Which of the following is the general solution to the differential equation (Зх + 2у + 4)dx+ (3x +…

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Q: Which of the following is the general solution to the differential equation dy dx Select one…

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Q: 2. (D? — 2D + 5) у %3 25x² + 12

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Q: 4) (D² – 2D – 3)³y = 0

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Q: Which of the following is the general solution to the differential equation dx + 2x = 2x²y²dy ? %3D…

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Q: Which of the following is the general solution to the differential equation G dx + (In(2x – 2) +) dy…

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Q: Which of the following best represents the particular solution of the differential equation: y" –…

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Q: 7. Which of the following is the general solution of the differential equation 2xy dx + (4y +3x^2)…

A: To find out the general solution of the differential equation.

Q: Which of the following is the particular solution to the following differential equation y" + 2y' –…

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Q: Which of the following is the general solution to the differential equation ydx = (3y + 1)xdy +…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE…

A: We have to find the general solution of the non-homogeneous differential equation…

Q: Solve the differential equation of the following (ke2v-u) du – 2e2v (e2v+ku) dv = 0

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Q: Which of the following represents the particular solution of the differential equation of xyy' = 1…

A: Please refer the attached image for complete solution.

Q: 4. Which of the following is the general solution of the differential equation (2xy - y^2 + y) dx +…

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Q: Which of the following is the general solution to the differential equation (3х — у + 6)dx + (6х —…

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Q: Which of the following is a solution to the given differential equation: dx-1+ óye*" Jdy = 0 O a.…

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Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

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Q: SHOW THE COMPLETE SOLUTION. In each of the following Differential Equations, eliminate the…

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Q: (e2y – 12x2) dx + 2xe2Ydy = 0 -

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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: 1. (D² – 2D – 3)y= 64xe³x

A: Given (D2-2D-3)y=64xe3x

Q: 20. Which of the following best represents the particular solution of the differential equation: y"…

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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.