The complementary function (CF) of the differential equation y" – 2y' + 2 y = 0 is a) CF=e"[c, cos .x +c, sinx] b) CF=[c, cos x+c,sin x| c) CF=e*[c, cosx+c, sin x] d) None of these C O d O b a

Q: A1. The differential equation of the function y = ax? + b where 'a' and 'b' are constant is: a) y' =…

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

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Q: Which of the following differential equation(s) is/are applicable for the method of undetermined…

A: Correct option is : C) only III

Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4…

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: Qs: Solve the fallow ing differential equations 2.

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Q: Which of the following differential equations is an exact differential equation (x +)dx- xy đy-0…

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Q: The differential equation 3zy" – 2y + 7y = tan x is normal on any open interval not containing = 0.

A: The main objective is to determine the given statement is true or false.

Q: 2. Evaluate whether the following initial values is true in the function: y = 4cos-+ e-2x 2.a) 2.b)…

A: Given , y=4 cosx2+e-2x

Q: l equation of y" os(3x) +C, s 3r)

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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: (x - v)y" - v =tanx is second order Ilinear differential equation. Select one: O True O False

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Q: Consider the differential equation 4y' = 3y+ 2x/y Which of the following is the linear form of this…

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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: b) y' = =+ cos) COS Hint: use the change o variable u =

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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: Solve the differential equation. dy COS X + y sin x = sin x cos x dx A y = cos x In | sec x | + C…

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Q: Which of the following statements is correct for the differen tial equation 2 -y'+y=-x(sin x)° y² ?…

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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: 9. Find the solution of the differential equation (D- 4D+5)y = 0 y = e2(C, cos x + Cz sin y = e-2(C,…

A: From the given differential equation; D2-4D+5y=0 So, the auxiliary equation is: m2-4m+5=0 Now solve.…

Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: b) Form the differential equation from the function x = Acos(nt + a). e) Given that y = eax sin bx,…

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Q: Consider the following differential equation y" + 4y/ + 5y = 0 Select the correct solution set to…

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Q: Evaluate the given differential equation y' tan x sin 2y = sin²x + cos²y A. sinx (sin'x + cos°x) = C…

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Q: Solve the differential equation. 15xy 2) dx dy = 15/xy

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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.