If 2x + 4y = 7x – 6y, then 1/x : 1/y is (A 2:1 в) 1:2 (с) 1:3 D 3:1

Q: are both solutions for the homogeneous DE: The functions y1 =e" and y2 =e y" - 16y = 0. Then, the…

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Q: 2. Solve the general solution for the First Order Linear DE. удх %3D (еУ + 2ху — 2х)dy

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Q: The solution of (1+y²) + (t- elan-ly Y =0 is: -1n dy %3D dt Select one: a. 1 t 3D elan-ly e2tan-ly O…

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Q: Exercise : 4 3 a) Evaluate , S /1-х2 |1-x²-y² .-3(x²+y²+z²)² dz dydx

A: Triple integral is used to find the volume bounded by a region. There are many methods that are used…

Q: In VVi+1-2 dt, if we let V Vt+1 – 2, then dt is equal to A 2(x²+2)dx ® 4x(x²+2)dx c) None D…

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Q: dr = (t ) dr = (2, -1, 0) SF.dr 2 XYz1-X yJ +z°x K • <2,-1,07 SAXyZ +Xy dt 4 S4(2t)(-t)(1) +…

A: Yes answer is correct...

Q: what value of n can be used to transform the Bernoulli equation y'+p(x)y=q(x)y^n into an equation of…

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Q: Cons i der the linearsystem X2 1. 2. is Gauss-s eidel method

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Q: d²z 2+ 3-2z = te-2t ; z(0) = 0 z'(0) = -2 dt2

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Q: The IVP: y =t/y+ sin t; 1sts2, y(1)= 0, has a unique solution Select one: True False

A: Given, y'=ty+sint, y1=0, 1≤t≤2

Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to A (4x³ + 2) dx B) None 2(x²+2)dx D 4x³dx 4x…

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Q: Find a particular solution to y" + 5y' + 6y = lte".

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Q: 30 -20 -10 Compare dy with (r-y} dydx 10 20 30

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Q: Suppose we are given y₁) and y2(x) (with y₁ ‡ y2), which are two different solutions of a…

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Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

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Q: If u(x, t) = D1 fn(t) sin(nx) is the solution Utt – 9ura = 2e2t sin(3x) + e-2t sin(4x) u(0, t) = 0 =…

A: Given: ux,t=∑n=1∞fntsinnx is the solution of the PDE…

Q: cos (2t + ) dt e21-3 -3 e 4 64e3 7 e-3 4 7 e3 4

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Q: 2 + 4y = 2e* – 4e¯t, y(0) = 0 dt

A: The given differential equation is,  dydt+4y=2et-4e-t, y(0)=0

Q: Find the general solution of (a) dy = ty(1+ t²)-1/2 dt (b) fip' dt + (t + 2)y = 1

A: To find the general solutions of given differential equations

Q: When does an nth order, homogeneous, Cauchy-Euler equation anty(n) + an-1tn-ly(n-1) + +aity' + aoy =…

A: Given: nth order To find: Cauchy-Euler equation

Q: Use Variation of parameters to find the solution of the initial valuue problem 3y = t², y(1)

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Q: Consider the IVP: y= 3z – 4y-2, y(2) = 3. A) Use Euler's method to obtain an approximation of y(2.4)…

A: The given differential is y'=3x-4y-2  , y2=3 we know the Eular method is yn+1=yn+hfxn,yn

Q: Find the Solution (1+r)ds + 2sr-3(1+r)dt = 0; when t - 0, s = 2. ® : (1 - P12-e* ®= (1 - s12-e © : =…

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Q: 2nd Case (IBVP Summary) (Ut = 1.5uxx, 0 0 Ux(0, t) = 0, ux(6 ft, t) = 0, t > 0 (u(x,0) = 80°F, 0<…

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Q: I(x) = /, (In(t))² e-(t-1)* dt - 3x

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Q: If q x2 yz3 %3D =, the small increment in q with &r=8y=8z=±0.1 can be approximately calculated by…

A: We will use partial derivatives to calculate the required quantity.

Q: (x + 2)-(x + 2)+y 3x +4 diferansiyel denkleminin genel çözümünü dx2 bulunuz. i riiniiz

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Q: Apply Euler-Cauchy Runge-Kutta method for the equation: y' = 2y t y (1)=1 and and abtain y, Y₂ y h =…

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Q: Test 1. y" - y - 2y = e by D- operator method 2. y" - 3y' +2y = ex + 6x3 - 2+ 3sin(4x)

A: 1. Now we will solve the differential equation. The genaral solution: =…

Q: The solution of y" = 8(t – 1) – 6(t – 3), y(0) = y'(0) = 0 is y(t) = %3D (A) (t- 3)[u(t - 1) - u(t-…

A: Given y''=δt-1-δt-3, y0=y'0=0

Q: 1. 2xy'+ xy'+ (x² 3) y=O a) Show thet a regulor singulerity Xa>0 is point. 6) Use froteniaw method…

A: (a) Given equation, We know that,

Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to 4x(x²+ 2)dx B (4x³+2)dx None D 2(x²+2)dx E…

A: To find out the dt.

Q: 22) Use Euler method to estimate the solution of the ODE y' (xy?) ,y(1) = 2, h = 0.1 at x = 1.2

A: using the Euler's rule: yi+1=yi+hf(xi,yi) we will find the solution of given ODE we have…

Q: -2x y' = y - x y'e* diferansiyel denkleminin genel çözümünü bulunuz.

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Q: Find the general solution of d²y dt² + dy + 20y=e-2t sin(4t).

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Q: The solution to the non-homogeneous DE y' - Бy +ву 3D2х + 3 is 2. a. Ae3x + Be3* +1/3 x + 7/9 b.…

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Q: What is the general solution to the follwoing equation: (4t+5y+4)dt-dy=0

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Q: 2. Given y' = x² + y . With y=-1 when x=0. b. Calculate y(0.4) and y(0.6) using modified Euler…

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Q: 9. Ify,(x)= sin 2r and y, (x) = cos 2x are two solutions of y"+ 4y 0, show that y, (x) and y, r) are…

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Q: 2. Determine the solution of y dt + (2yt + 1) dy = 0given that given that y (-1) =Q

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Q: 7. Find the general solution to y" + 2(x – 1)y' + 4y = 0 using an integrating factor of the form ax…

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Q: Obtain the general solution to the equation. (3t + 4y + 2)dt – dy = 0

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Q: The general solution of 2y" -xy'+ (x - 24 ly = 0, is: OaC,xJ,) + C,xJ_(2) OcC,,(3) + C,xJ_(3x)…

A: The given equation is  x2y"-xy'+x2-24y=0                                  (1) The differential…

Q: If u(x, t) = E1 fn(t) sin(nx) is the solution Utt – 9uzz = 2e2t sin(3x) + e-2t sin(4x) m=1 u(0, t) :…

A: Given: ux,t=∑n=1∞fntsinnx is the solution of the PDE…

Q: - 1. der the equation In ay Ehow that (r, y) = (1,1) is a solution to this equation. dy Find dz…

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Q: If u(x, t) = E1 fn (t) sin(næ) is the solution for Utt + 9uz = 2e" sin(3x) + e sin(4x) u(0, t) = 0 =…

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Q: The solution of (1 +y²) + (t – elan-lyay dt 0 is: Select one: a. t = ce2tan-ly+2 O b. -C elan-ly…

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