The general solution of the differential equation 2y""-3y"-2y'=0 corresponds to A- B- C- D- y=c₁e² +₂e=/2 + С²е²¹ y=c₁x +₂²¹ +₂е²/2 y = C₁ C₂е²/2 + c3e7 e 22 - y = C₁ + c₂e-¹/² + C3e²¹

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x₁ A. y" - 3y' = 0 B. 3y" -…

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Q: Solve the differential equation dy 2ay? + e + ( 2x y-4y 0. - dx a. 2æy? + e-2y2 = C O b. 2ay? + e +…

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Q: Check that the indicated function is an explicit or implicit solution of the given differential…

A: Consider the differential equation dydx=xy+3x−y−3xy−2x+4y−8 Hence,  dydx=xy+3x−y−3xy−2x+4y−8…

Q: Find the solution of the differential equation у" — 16у 3D 2е\x y = C,eªx C2e¬4x + +xe4x а. 4 b. y =…

A: The given differential equation is y''-16y=2e4x .............................. (1)  for the…

Q: Find the differential equation of the general solution y = ce4* + c2e5x %3D A. y" + 9y' – 20y = 0 В.…

A: y = C1 e4x+C2 e5x  To find :- Differential equation of given equations  Method:-  Here in given…

Q: The second-order linear differential equation xy" + 2y' 12x can be solved by first making the…

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Q: The solution of the differential equation In(y')=2x-y is given by

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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: Let's consider the differential equation 4y" + 2y" = e-*(x² + 4) + 4e 2 – 5x² + 9 Which of the…

A: The solution is given as

Q: With procedure, Choose the differential equation that corresponds to the solution y = C₁e6x + ₂xе6x…

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Q: y = 3xp +p 0 what is the general solution of the differential equation? dx

A: Given that y=3xp+p,  p=dydx To find the general solution: y=3xp+py=3x+1p Differentiate both sides…

Q: The auxiliary equation of the differential equation -5y""+y' + 2y = 0 is -5m² + m² + 2m = 0. O False…

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Q: What could be an integrating factor in solving the differential equation 2(х — у)dx + (3x? — 2х —…

A: We have given differential equation ,  2x - ydx + 3x2 - 2x - 6xydy = 0  This is of the form ,  Mdx +…

Q: Two linearly independent solutions of the differential equation y" +4y' +4y=0 are Select the correct…

A: Given the differential equation y" + 4y' + 4y = 0. Here the auxiliary equation m2 + 4m + 4 = 0

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x 3x A. B. O O E. y" - 3y' =…

A: Given a  equation of general solution of a differential equation. By terminating arbitrary constant…

Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: Which of the following differential equation has a solution of y = Cqx³ + C2x ? 3y = 4xy" + x²y' 4y…

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Q: Solve the Linear Higher Order of differential equation using the formulas below. (D² – 3D + 4)(e*…

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Q: Match the differential equation y′ − 2x = 0 with its solution as attached

A: Here given as y'-2x=0Or dydx=2xordy=2xdx

Q: C. e'dx+ (2y +xe')dy = 0.

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Q: What is the differential equation of the solution y = C1e®" + C2xe®u + C3e¬7w ? O y" – 11y" + 45y +…

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Q: Solve both the differential equations. 1) (y² + 1)dx + (2xy+ 1)dy = 0

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