Solve: (16 y – 24a? y4) dæ = (32x³ y³ – 20x*yA – 6 sin 2y) dy - O 7x* y% – 5æ°y – 3 cos 2y = C - O 4x*y – 8x°y – 3 cos 2y = C - O 5x*y% – 7x° y + 3 cos 2y = C О 7ау — 52 у + 3 cos 2y 3 С - O 5x*y% – 7x° yt – 3 cos 2y = C O 8x*y° – 4x³y* + 3 cos 2y =C - O 4x*y5 – 8x° yt + 3 cos 2y = C O 8x*y – 4x°y – 3 cos 2y = C

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: solve using the appropriate method. y' + (tan x)y = cos2 x, y(π) = 2

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Q: Find the solution of y" + 9y' = 162 sin(9t) + 1296 cos(9t) %3D with y(0) = 5 and y' (0) = 9. %3D y =

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Q: y" + 3y' + 2y = e¯ 2« – 10 sin(æ) - 10 -2x -

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Q: Solve for the general solution of (D² - 1)y = sinx using variation of parameters

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Q: y" + 2y' = 4x – 5 cos(x).

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Q: Q1) Solve 1 + cos y – 2xy) dx – (xsin y + x²)dy = 0 +1

A: Given differential equation is  1x2+1+cosy-2xydx-xsiny+x2dy=0 This equation can be written as…

Q: Solve: Tanxdy+ y°Sin²xdx=0, y(0)=1 а. у"(3-Сos2x)-2 b. у(-2х + Сos2х) -1 d. y(-1+ Cos2x) — х с. у?…

A: This question is related to differential equations, We will solve it using given information.

Q: dz Consider In(4r2 + y?) + sec(9y²) + e²* = tan(xz). Find

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Q: Solve using the Method of Coefficients: y'' + 3y' + 2y = 7 cos x - sin x

A: The given differential equation

Q: 3x (y? + y + cos4y)dydx 3.

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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: y + yl= 12 x²+q sinx イ2x 4 Sinx %3D SoLve this differon tiaL equation with un determinet Coefficient…

A: Consider the provided differential equation,

Q: Use undetermined coefficients to find the particular solution to y'' + 5y' + 4y = - 400 sin(2t) Y(t)…

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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: Obtain the general solution to the equation dy dr 2+x COS x, y(0) = 2. 5.

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Q: b) Solve to find if y = Tant VE and t = 4x-2 – secx dz b) if z = sin20, and 0 = [cos(w) + 1]² + cos…

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Q: Solve the equation siny(X+siny)Dy+2x²cosydy=0

A: Consider the provided question, sinyx+sinydx+2x2cosydy=0sinyx+siny+2x2cosydydx=0…

Q: Solve the particular solution of (D2 + 1) y = sec (x) tan (x) using variation of parameters

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Q: If y = (3x)sin (2æ) then %3D dy dx (Be sure to express your answer in terms of x)

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Q: y''''+8y'''+32y''+64y'+39y=e^(-2x)((4-15x)cos3x-(4+15x)sin3x) Find a particular equation for:

A: The given differential equation is: y''''+8y'''+32y''+64y'+39y=e-2x ((4-15x) cos3x-(4+15x) sin3x)…

Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: Find the solution. y' = 5y + e 2x y2, y(0) = 2 139e 15x – 3e -2x )1/3 A) y = 17 39e* - e-2x )1/3 B…

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Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

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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: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: SV1- x2 sin-1x dx

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Q: Eval uate the general Solution of the diflerential epation y° (tx + 9)² 2y' t y tanx COS X (4x+s) +…

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Q: dy 2y + cos dx ||

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Solve the ODE: (7e sin y – - 49y sin(7x))dx + (e“ cos y + 14y cos(7x))dy = 0

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Q: Solve the nonhomogeneous equation using the method of undetermined coefficients: y +4y=x-2 cos 2x,…

A: The solution is given as

Q: Use Method of Undetermined Coefficients: y" - 2y' + 5y = 4e*cos2x +x?

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

A: Answer

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: b) dr cos² #√5 + tanz c) ₁ dt (3-5t)²

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Q: Solve the equation [cos (2y) - (3x^2)(y^2)]dx +[cos (2y) - 2x sin 2y - (2x^3)(y)]dy = 0

A: To solve the given differential equation. First we check whether the differential equation is exact…

Q: Find the general solution of: y"-3y 8e* + sin 2-

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Q: 3. Solve the DE: 1 + 2.ry? ) dx + (2ya² – cos y) dy = 0, y(1) = || - -

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Q: Solve by Bernoulli's Equation 2. sin y(x + siny)dx + 2x?cos y dy =0

A: We find the solution by Bernoulli’s Equation.

Q: Obtain the solution (3tan x-2cos y) sec^2x dx + tan x sin y dy = 0

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Q: solve the nonhomogenous equation y''' - 6y' = -cos(x)

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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: 11. y= e4x %3D 2x 12. y= e cos 3x

A: We can solve this question using chain rule and product rule of derivative.

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

A: The given equations,1.dydx=8 sin4x ; y=6 when x=02. dydx=4y ; y=3 when x=0

Q: Find the solution of d2y/dx2+4y=sin3x+cos2x

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Q: c) Se- sin(4t) dt

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Q: Solve by variable separable method: dy/dx = x^2 + cos 2x

A: Given, The differential equation, dydx =x2 +cos2x  We have to solve the differential equation by…

Q: 6y' = y*sinx У (0) — 1

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Q: 3. y" + 2y' + 5y = t cos(5t) - 6,y(0) = 1, y'(0) = -2

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