What is the general solution of the differential equation y" + 4y = cot 2x? Oy=G coe 2 +Gn 2-ain 2e In(cac 2n + cot 2m) Oy=G cos 2 +G in 2+ain 2a In(cac 2 + cot 2m) Oy=G con 2s +G n2+cos2 In(cac 2 + cot 2m) O y= G con 2s +Gn 2-cos 2 In(cac 2 + cot 2a)

Q: Which of the following function/s is/are solutions of the differential equation y"-y=0? +1 e* Option…

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Q: b) Solve for the following partial differential equation: a²y = 4ey cos 2x, дхду ду given that at y…

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Q: Check whether or not that 1- Ae* y = 1+ Ae* is a solution to the differential equation, dy ** -1).…

A: Check whether the given solution is a solution to the given differential equation or not.

Q: Which of the following is the linear differential equation resulting from the solution of the…

A: The given differential equation is first order but not of first degree. We denote dy/dx =p and the…

Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a.…

A: y=sin3x+4y

Q: Q/Solve the differential equation by seperable 1) dy=(y + 9x) dx 2) dx 3) dx - 1 1+ y² dy = 0 y + 9x…

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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: 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: 8²% Classify the partial differential equation: 6- dx² -16 <0, Hyperbolic -24 < 0, Elliptic O 240,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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: Show that each of the functions defined in Column I is a solution of the corresponding differential…

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Q: Let differential equation               ay'''+by''+cy'+dy=0 and solution of DE is spanned by ex,…

A: Let differential equation                  ay'''+by''+cy'+dy=0 and solution of DE is spanned byex,…

Q: Solve the following differential equation by finding yp by inspection: (D^5+4D^3)=7 * O y = C1 + C2x…

A: We will find out the required solution.

Q: 25. The solution to the differential equation y - 4y = 0 a) Ce2t + Czte-2t + C3cos(2t)+ C4sin(2t) b)…

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Q: The particular integral of the differential equation (D² + 3)(D +5)y= 3+ sin z + cos² z is_ 8 15 O 6…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Make the Nonexact differential equation ry dx + (3y? + 2x2 – 20) dy =0 an exact differential…

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Q: Suppose the auxiliary equation of a homogeneous linear differential equation has roots m_1=-2 and…

A: We have given the root of the auxiliary equation which is m1=2 and m2=+-2i

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

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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: Let differential equation               ay'''+by''+cy'+dy=0 and solution of DE is spanned by ex,…

A: Consider the differential equation given along with its solution spanning set. Since its a…

Q: Match each slope field shown with its differential equation. Please explain/justify your answers. 1)…

A: Let us name the given slope fields as A, B, C, D, E and F. That is

Q: A student is solving a Cauchy-Euler differential equation and obtains the following solutions of the…

A: Use the cauchy Euler method to solve this problem.

Q: Identify ALL linear differential equations. + (sin(t) + e' + 5x) + x = 0 d13 d²x + (1+t²) x = 10t…

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Q: Integrating factor of the differential equation y+ [(y + 1/² + 1/² ) (a) x (b) x² (c) x³ (d) x¹ + 1/…

A: Integrating factor of the differential equation  is,(a) (b) (c) (d)