What is the solution of the differential equation y" – 8y + 25y = 36e4x ? -4x O y = C1e¬4 cos3x + C2e-4# sin3x – 4e4x O y = C1e4* cos3x + C2e1* sin3x + 4e4* O y = C1e cos3x + C2e4" sin3x + 0.25e4 O y = C1e cos3x + C2e%" sin3x – 0.25e1 -4x O y = C1e¬4# cos3x + C2e sin3x + 0.25e4* -4x O y = C1e¬4# cos3x + C2e sin3x + 4e4* O y = C1e¬4" cos3x + C2e-4x sin3x – 0.25e4* O y = Cje4* cos3x + C2e1* sin3x – 4e4*

Q: The complementary function(C.F.) of the differential equation (D – 7)(D² + 7?)y = e7² is O (c2 Cos…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: The complementary function(C.F.) of the differential equation(D – 8)°y = sin 8x is (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: Determine the solution of the differential equation y" + y = sec? x

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Q: ¬(D – 6)°(D+4)y = 6x is_

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Q: d²y dy d³y dx + a1' dx² + aoy = 0 dx + az° x³

A: Let y=eλxGiven: The differential equation:a3d3ydx3+a2d2ydx2+a1dydx+a0y=0To show: y is the solution…

Q: Provide a general solution formula for the differential equation y" – 15y" + 70y" – 120y' + 64y = 0,…

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Q: Q1 Use the hypothesis V= y² and U=X To Solve the differential. equation (2x²+²-7) x dx (3X² +…

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Q: Solve the differential equation

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Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0.

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Q: The complementary function(C.F.) of the differential equation (D2 + 6D+ 18)y= z is_

A: In this question, we have find the complementary function for the differential equation.

Q: The complementary function(C.F.) of the differential equation(D – 2)°y = sin 2x is_ O (ci + c2x +…

A: Solution: The objective is to find the complementary function of the given differential equation

Q: Obtain the differential equation associated with the family of curves below: y = A + Bx + Ce2x y" -…

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Q: Solve the ff. differential equations by applying the appropriate substitution. dy = 2+y-2x+3 1) dx…

A: Since, you have asked multiple questions as per company guidelines, we will solve the first question…

Q: Solve the differential equation y" - 3y +2y cos(e-*)

A: This is a Non-linear differential equation. Which I have solved by operator method. See the solution…

Q: 9. Find the solution of the differential equation (D2 – 4D + 5)y = 0 y = e2x(C1 cos x + C2 sin А. x)…

A: We have to find the solutions

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: SHOW COMPLETE SOLUTION PLS. Show that y=ex(1+x) is a solution of the differential equation…

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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 following differential equation y'"+2y' +5y= e2*coshx Select one: O a.…

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

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Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

Q: A non-right triangle has the following three sides: b = 40.1, c = possible. 45.5, and a = 66.8. Find…

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Q: The complementary function(C.F.) of the differential equation (D – 6) (D² + 6²)y = e&" is_ cie0a +…

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Q: The differential equation y"" + ay" +by" + cy' + dy = 0 has a solution y = -5test - 6e³t cos(2t) for…

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Q: The math problem is (3xy^2-2y^3+3)dx = (-x^3+6xy^2-2y)dy  I believe this is a Exact Differential…

A: We have to show that given differential equation is either exact or not.

Q: Determine the solution of the differential equation + 12 + 8 = 0 ds ds ds ds x = C, + C2s + Czež +…

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Q: Select the function which is a solution of the differential equation. y" – 2y + 10y = 0 O y = 3e*…

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Q: show the complete solution using differential equation

A: As per the guidelines we can solve 1 part only

Q: The solution to the differential equation: v² (x +sin*5x) – 3y] dx + (yx² – 3x +xy – 5 + 6y…

A: The given differential equation is: y2x+12sin2(5x)-3y dx+yx2-3x+12xy-5+6y-120y sin(10x) dy=0