NUMERİCAL METHOD QUESTİON. Solve the following problem with euler method : 2y'' + 3y' + 3.125y = sinx , where y(0) = 5 and y'(0) = 3 . Solve from x=0 to 5 with h = 0.5 . Find the error considering the exact solution is y(x) = e^(-0.75x) (5.292237cosx + 6.859589sinx) - 0.292237cosx + 0.109589sinx . Display the analytical and numerical results in same graph

Q: Determine the value of k such that k y=(1-sinx) * is a solution to 2y'=y³cosx

A:

Q: Newton’s Method can be used to compute reciprocals without performing division. Letc > 0 and set…

A:

Q: provide

A:

Q: 10.4y" + 4 = cos-1x

A: 10.The given equation is, 4y''+4=cos-1(x)

Q: Variation of Parameters 9. (D² – 1)y = e¬* + 1 10.4y" + 4 = cos-1x

A: To solve: using variation of parameters method 9)(D2-1)y=e-x+1

Q: Given y'+y = 0, y(3) = 2. Solve this initial value problem for x = 3(0.5)5 using Euler's %3D !!…

A:

Q: Solve sinh(z)=i

A: Given that the equation sinhz=i

Q: Find and of the implicit equatio: a 3x?z + y – xyz' = 0 b ye-* + z sin x = 0,

A:

Q: Solve using any method: y"+y' - 2y = sin x

A:

Q: Solve by hand function bellow using Eu Repeat 5 times. (5 iterations)

A: Given equation : fx=x3-7x2+4 Where f0=03-7.02+4=4 and f1=13-7.12+4=-2 which implies that there exist…

Q: solve using the appropriate method. y' + yx= sin x

A:

Q: f(x) = sin(x) +lox - 7 = 38 find the solution of the following in equation (Newton Raphson Method)…

A: The given function is, f(x)=sinx+10x-7=38. To Find: Solution of the above equation using…

Q: 70. 4y" +5y' - 2y = e²+xsinx

A:

Q: Find y' and y". y' y" = y = (²+ √x)³ 3

A:

Q: Solve the initial value problem yy' + x = √√x² + y² with y(3) = √27. a. To solve this, we should use…

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2.1 Solve y' = 2xy. 2.2 Solve x' = 3xt² 3t², x(0) = 2.

A:

Q: Verify that (e* sin y-2ysin x)+(e* cos y+2 cos x)y' 0is exact. Then solve it and leave the answer in…

A:

Q: 4. Use variation of parameters m y"+y' = ln x

A:

Q: In general, solving y' = 0 leads to Select an answer .2 Now, let y = f(x) 9 In(æ|). Determine y'. 2…

A:

Q: 4. y' = sec³x + y tanx

A:

Q: Find a particular solution using the Undetermined Coefficients Method of y" -y' + y = 2 sin3x.

A:

Q: Solve by variation of parameters method (h) y" + y' = tan x

A:

Q: Solve 2(cos2x)y' + ysin(2x) = 4cos4x 0 =< x < pi/2

A:

Q: Solve the equation y' = csc(x) - y cot(x).

A:

Q: Solve using the method of undetermined coefficients: y" + 8y' = 2x¹ + x²e-³x + sin (x)

A:

Q: The given Riccati equation is y'- y²-yeatr + sin²x = 0 Also it is given that, the particular…

A: Solving Riccati equation when one particular solution is given. y=y1+1/u

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: Runge-Kutta 4th

A: y' = y-x   , y(0) =2here h = 0.1f(x , y ) = y-xx0=0y0= 2y(0.1) = y(0) +16(k1+2k2+2k3+k4)k1 = (0.1)…

Q: Solve y" - y' = xe characteristic equation using undetermined coefficient. Show all your work. The 2…

A: To solve the differential equation y''-y'=xex using undetermined coefficients.

Q: x' + 5x' + 4x = 20 cos (2t) + 30 sin (21), Solve the above IVP and then find x(0.25). Puix(0.25) Fui…

A: A differential equation is defined as an equation containing one or more terms and the derivative of…