y" +2y +5y=4e¹ cos 2t, y(0)= 0, y'(0)=0

Q: y" - Y+1 = cos(+) u(

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Q: 2. Solve 3 y'(z) + y(x) = y²(z) (cosz - sinx)

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Q: 4)y = 2 sin (3x +) - 1

A: Given: y=2sin3x+π5-1

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

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Q: Using Variation of Parameters 4y''-4=cos-1x

A: Given that, 4y''-4=cos-1x Now let's take, 4y''-4=0 Take m=ddx, 4m2-4y=04m2-4=0m=±1 So the homogenous…

Q: solve for y'. y=sin-1[(ax+b)/(bx+a)]

A: Sin-1x can be written as asin(X)   So we have expression as y=sin-1(ax+b)(bx+a) We have to solve for…

Q: the solution to the given equa y" + y' – 2y = cos(x) – 3 sin(: -

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: If y(t) is the general solution for the equation: y' + y = sin(t), y(pi/2) = 0 Then, y(0) = ? a)…

A: Consider the differential equation  y'+y=sint,           yπ2 = 0

Q: A particular solution of y" - 3y' – 4y = 2sinx 5 -cosx 17 a. 3 COSX - 17 5 sinx 17 b. 3 -sinx 17 C.…

A: find roots for the homogeneous system

Q: (x2 cos+*) x4 HB16x dx Xin + NI-

A: It seems like your message might be incomplete or contains some notation that isn't entirely clear.…

Q: If x*y" + xy' + (x? - y= 0 x >0 ,V1=x 2 sinx 3D0 and y =y,v. Which of the following equations…

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Q: Find y' and y'". y=cos(xsin3x)

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Q: y"+ 4y= 5 cos(3t), y(0) = 1, y'(0) = 1.

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