Q2- : Classify and Solve; d?y + 9: dt dy cos? t + cosht + sinh t + sin? t +3 sin t - 3t %3D dt?

Q: 2. Solve using any technique y" – 2y – 3y = sin r

A: First we find CF and then PI(by using the formula of PI of sin(ax)) and further find general…

Q: dy Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 dx

A: Given that : The differentiable equation dydx = 8 sin 4x . y = 6 when x = 0.

Q: Find the value of the constant A so that y = A sin 7t satisfies the equation + 2y = 4 sin 7t. dt2…

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Q: y" + 2y' = 4x – 5 cos(x).

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Q: Q! Salve! y? -y?+2y=Sin3× using D-opevtor Method

A: The given differential equation is: y'''-y''+2y=sin(3x)

Q: Find dy/dr. cos 2r y = sec r+ 1

A: solution :-To find :- dydxy=cos2xsecx+15=ddxf(x)g(x)=g(x).f'(x)-f(x)g;(x)[g(x)]2

Q: Find the solution of the IVP: y" – 9y = sin 2t, y(0) = 0, y'(0) = 1 using method of undetermined…

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Q: Q3\ find General solution of sin (xy). (ydx + xdy) = 0 %3D

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Q: y" + 2y' = 2 – 5 cos(x), y(0) = 0, y' (0) = 1. %3D

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Q: F. Solve: y" – 6y' + 15y = 2 sin 3t, y(0) = –1, y'(0) %3D -

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Q: e5x cos e5x dx sin²e5x

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Q: Solve the IVP (1/x + 2y^2x)dx + (2yx^2 - cos(y))dy = 0, y(1) = pi. Give an implicit solution.

A: Consider the differential equation 1x+2y2xdx+2yx2−cosydy=0.........(1) Compare the equation (1) with…

Q: se C for the constant oT integration.) (7 cos x + 3 sin x) dx

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Q: -2 cos(6t) dt J (10+4 sin(6t))²

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Q: dy 5. Solve the IVP: = cos(r+ y), y(0) = dr

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Q: 2 dy Is y = sin t, a solution to = 1 – y? Justify-

A: We will prove the given statement.

Q: d's -4 sin 2t dt? „s'(0) = 100,s(0) = 0 %3D

A: Given data:     The given differential equation is: d2s/dt2=-4sin[2t-π/2]. The first given condition…

Q: Find the solution of the equation cos y dy? which tends to zero as x → 0o and has the value cos y…

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Q: Solve using the variation of parameters d'y/dx3 + dy/dx = 1/Sqr(1-cos?x)

A: We have the following non-homogeneous differential equation : y''' + y' = 1/√(1-cos2x) = 1/sin(x) =…

Q: Solve the DE by eliminating the arbitrary constant of x sin y + (x^2)y = C

A: Given that the expression xsiny+x2y=C. Differentiate with respect to x.…

Q: . Find the qeueral solution: - 2 dy +5y = ex Cos 2x

A: Complete solution = complementary function + particular integral.

Q: Use undetermined coefficients to find the particular solution to y"+ 5y' + 4y = - 500 sin(3t) Y(t) =

A: We have to find the particular solution of  y''+5y'+4y=-500sin(3t) by using the method of…

Q: dy Solve the equation sin (r) with initial condition y(0) = –1 using Separation of Variables. %3D da

A: Consider the equation: dydx=sin2xy,    y0=-1 To solve the given equation,…

Q: solve the di¡erential equation.3. sec x dy + x cos^2 y dx = 0        4. 2x2 dx - 3sqrt(y) csc x dy =…

A: 3).To solve the differential equation: secx dy+xcos2y dx=0. Solution: Separating the variables of…

Q: Q7// find the general solution (sin-1x + 1 y)dx + sec-1xdy = 0 1 xVx² – |

A: The detailed solution is as follows below:

Q: Solve for the General Solution ds 5s = dt te 5t sin t %3D

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Q: B. Substitution as suggested by the equation 3. (x + 2y – 1)dx + 3(x+ 2y)dy = 0 when y(0) 4.…

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Q: Solve using the variation of parameters d°y/dx³ + dy/dx = 1/Sqr(1-cos?x)

A: The solution is given as

Q: 5. J sin42x cos22x dx.

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Evaluate by any applicable method. T/2 S cos sin y dy 60 120 60 None of the choices. Please refer to…

A: Topic = Integration

Q: | sin t cos* t dt 9.

A: We have to evaluate given integral Concept:

Q: d'y Using method of variation of parameters solve + 4y = 4 tan 2x dx?

A: d2ydx2+4y=4tan2x

Q: d?x + 4x = sin2t Q5: Solve: %3D dt2 Using variation of parameters method?

A: Answer

Q: check by differentiation that y=5COSE 4 Sint is a solution to y"ty=D0 by finding the terms in the…

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Q: 7. (1+ 2e"/»)dx + 2e*%» (1-) dy = 0

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Q: Find the solution of sin 3ædx + 2ycos³3xdy = 0 O y? = sec 3xtan 3x + C O y? = -sec 3ætan 3x + C O y?…

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Q: Determine whether y : y = x2 + 2 d²y sin x + x² is a solution to the DE dx2 %3D

A: We have to check whether  y = sin x + x2 is a solution to the DE  d2ydx2 + y = x2 + 2.

Q: :.) Solve the equation using discontinuous function: y" + 9y = cos(2t) – u47(t)cos(2t)

A: Please check step 2 for the solution.!

Q: Choose the four correct steps (in order) involved in the solution of S"I (2x – sin(y)) dx dy.

A: This is a question of double integration where we need to integrate wrt 'x' first and then wrt 'y'.…

Q: Find the solution where y= 1 and dy/dx = 0 when x =0 and describe the behaviour of the solution for…

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Q: 3.) Solve the equation using discontinuous function: y" + 9y = cos(2t) – U37(t)cos(2t) , y(0) = 0,…

A: We will find out the required solution.

Q: Q4/Solve for two only Va+9+3 lim, o 1- dx Se sin (e*)dx 3.

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Q: Solve using method of undetermined coefficcents (D2 2D + 2) Y 24 e sin 3X when x=0, y=D0. y=0

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Q: Solve using the variation of parameters d'y/dx + dy/dx 1/Sqr(1-cos²x)| %3D

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Q: of Solve the initial value problem xdy + dy= ydx, yca) =6 %3D df dx find the function fox) Given =…

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Q: Q1: Solve by using Euler's Method. dy = x + cos(y) : 0sxs1 :y(0) =1;h 0.5 dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Use Green's function method to solve the following BVP y" – y = cosx, y(0) = 0, y(ln2) = 2 %3D

A: The given differential equation is y''-y=cosx   ….(1) and the initial condition is y(0)=0 and…

Q: Solve the fo llowing D.- E y + y tan X Cos X %3D

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