Question 1 Verify that y = cje* + c2e* is a solution to the DE: y" – 5y' + 4y = 0. %3D

Q: -2X O y- 2y'ty = e5x %3D aut put di fferential equo tion below pereral solution the

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Q: Find the general solution of 2ey cos 2x dx + (ey sin 2x + 3y sec2 y2)dy = 0. a. e sin 2x +y tan y? =…

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

Q: If +a= a(2 cos 0 cos 20) and y=a(2 sin0 sin 20),show that (z² + y² + 2az) = 4a² (z² + y²). %3D

A: Given that, x+a=a2cosθ-cos2θ⋯⋯1y=a2sinθ-sin2θ⋯⋯2 Squaring both sides of (1) and (2) and adding,…

Q: Find the general solution to y" + 7y' + 12y = 6e*. %3D

A: Consider the provided question, y''+7y'+12y=6e-xAuxilary equation…

Q: where co r= Cn Find the solution of x2y" + 5xy' + (4- 4x)y=0, x > - = 1. Enter = 1, 2, 3, ... n =…

A: Given differential equation is x2y''+5xy'+4-4xy=0                    (1)                Suppose,…

Q: What is the particular solution of (D' + 4D² – 1)y = 44sin3r O a. sin2z O b. sin3z O c. cos2z O d.…

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Q: find the general solution for  2 Z_xy+ Z_yy =cos( y) +1

A: Firstly find a homogenous solution and then find a particular integral . hence complete solution =…

Q: Find the particular solution of y" + 3y' + 2y = -9sin x + 23cos . ||

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Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: What is the general solution of (1 + x2) y' 3æy + 3y3 tan-a + 1 = C 3xy 3y tan-1 a + 1 = C - 3æy +…

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Q: Solve the following DE's a) y" +y = 0 c) y"-4y' + 49y = 0 y(0) = 0, y' (0) = 5 b) y"" – 2y" + 4y' –…

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Q: Find the gene ral solution of the following DES: e + ye"+ ( e + x") y'= 0 メy

A: Given:   ex  + yexy + (ey + xexy ) y' = 0 ex  + yexy + (ey + xexy ) dy/dx = 0 ......... (1)  As  y'…

Q: The general solution of the following Euler Cauchy equation: d²y x². dx2 + 5x = -3y y(1) = 2, y'(1)…

A: We have to solve the Euler's Cauchy equation

Q: 47-50 Find dw/ax, dw/ay, and du/dz. 49. w = =x²+y² + z?

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Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

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Q: y" + 8y' + 25y 2t-e-4t + 5 cos 3t

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Q: y== Cosinlrx) a Ca Cosla.) aSatustied if x=

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Q: Solve the following D-E 1) y' +y = sinx dy 2) x - 2y = x°cos4x dx dy 3) x = y + x³ + 3x² – 2x dx

A: **As per bartleby guidelines we are allowed to answer only 1 question or 3 sub parts at a time.…

Q: Find tha gmoral solution of gr - 7y' + My =1 0

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Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

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Q: y" + 4y = -12 cos 2x - 4 sin 2

A: I am attaching image so that you understand each and every step.

Q: 1) Hs] Solve the IVP: y" – 8y + 16y = 0, y(0) = -3 and y (0) = -1. %3D |

A: Use homogeneous differential equations to find solution.

Q: Solve the ODE with variations of parameters. y" - 4y' + 4y = (x + 1)e²x

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Q: 1. y"+3xy'+3y = 0

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Q: dr e² +e== 10 ´e² - dy | 4z sin(4z + 5) dr ( (4r0 + 2r* + 15z" 7 +1 + (3z – 5)*) dz / (Vi++ e** +4*…

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