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: Tell whether x = C1et + C2 cos 2t + C3 sin 2t is a solution to the differential equation x''' - x''…

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Q: What is the solution to the differential equation 2√√ay- da Oy = ( ² √₂-2) ? 3 Oy=(2²√x - 2) ³ 1 =…

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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: The complementary function(C.F.) of the differential equation (D² + 6D+18)y=x is_ -37 (c1 cos 3x +…

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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: y(x³e - y) dx +x (y+x³e»)dy = 0 %3D

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Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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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: What is the differential equation obtained by eliminating the parameter A from the relation y = A+…

A: In this question, we need to find the differential equation which has the solution  y=A+ln(14x)18…

Q: a) Solve differential equation dx + 2 dy x³ cos y %| - y

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Q: x' = 5 1 - 1 3 X

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Q: Given below is a complete solution of differential equations. Identify all LINES in the solution…

A: In the given solution of differential equation we have to find out the errors :-

Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

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Q: Find the general solution of the differential equation: y³y" = 1 OCy² (Cx+B)² = 2 Ocy² - (Cx+B)² =…

A: Given :- The differential equation Find :- The general solution of the differential equation.

Q: Q33. Solve the differential equation 5 (a) y³ = 5 (b) y³ = y3 + c« 1 x√x + ce 5 (c) y³ = √x + c« 5 5…

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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: SOLVE FOR the differential equations 15) (2x - 5y + 12) dx + (7x - 4y +15) dy = 0

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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 indicial equation for the differential equation " +7y-5xy 0 is O A. (r+ 7) = 0 O B. P(7r - 1) =…

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Q: Use Variation of Parameters to find the general solution of the differential equation a'y" +a*y" -…

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Q: Use the differential operators method to solve the equation y"-5y'+6y = e* .A y =ce2x+c,e3x + 2x .B…

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Q: The complementary function(C.F.) of the differential equation(D – 3)°y=sin 3x is O (ci + c2z +…

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

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

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