The general solution of (D³+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y = C₁+C₂x + c3e² D) y=C₁ + c₂cos2x+c3sin2x

Q: S={(x,y)∣∣x is the son of y}

A: The given set S={(x,y) | x is the son of y} is not a mathematical or geometrical expression. It is a…

Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

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Q: Find a particular solution, y,(x), of y(ª – y" = 12e3 – 5x + 2. -

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Q: 19. Find the general solution of (D4 + 6D³ +9D²)y = 0. 2 a. y=C₁ +C₂x+C3x² + c4e³x C46 Y = C₁ + C₂x…

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Q: Given z = (2x-y), find 0³ z (a) Əyəxəy 0³ z (b) ex²dy 24 = (c) ôxay

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Q: Let y1, Y2 be two independent solutions of (t – 1)y" – ty' +y = 0. If W(y1, Y2)(2) = e² , then W…

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Q: 3 then the integrating factor is ax (a) –3x (b) -3y (c) e 3x (d) e Select one

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Q: Let z = 8x2 + 7y2, and suppose that (x, y) changes from (2, -1) to (2.01, -0.98). (a) Compute Az. Az…

A: We have to find   dz and delta z and compare the the values.

Q: y3 (x+c)e* is a solution of y-y3e"* A True B False

A: To show y=(x+c)e-x                     (1) is a a solution of y'-y=e-x                      (2) Then…

Q: D) (3x² – 2y + e*+Y)dx + (e**y – 2x + 4)dy = 0 (Exact) E) (2xy*e" + 2xy³ + y)dx + (x²y*e" –x²y² –…

A: Let us consider the differential equation of the form Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x…

Q: 2 (x² + 2xy - 4y²) dx 2 X - 8xy - 4y²)dy = 0

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Q: Solve y'-y y'e" A) y(c- x) = e", y= 0 B) y(c – x) = 0, y = 0 C) y= e", y = 0 D) y(c-x') = e", y= 0

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Q: The general solution of (D-4D)y-0 is (A y=c+ cx + Cze tk ® y-(c, + cx)e* +c3e* © y-c+ cx +Cye" -4x D…

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Q: (C) y" + 21y+8x=y" + 5y' + e²*

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Q: Let y1, Y2 be two independent solutions of (t 1)y"- ty' +y = 0. If W(y1, Y2)(2) = e2, then W(y1,…

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Q: x²j + 3xỹ + 5y = 2 In (x)

A: Please see the attachment

Q: Solve the equation (x + 2y-4)dx - (2x + y - 5)dy = 0. (x + y - 1)² = c(x-y-3) (x-y-1)² = c(x + y -…

A: x+2y-4dx-2x+y-5dy=0

Q: Find dt OA. ○ B. OC. O D. for y = (5t? - 4t)?. dt dy dt dy dt dy dt = 2 (5t² − 4t) + (10t − 4) =…

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Q: 2x- (ii) Given aty=b²x-y and a 4x+3 = bx-5y, show that 3y-6x=7x² +5y²

A: (ii) Given ax+y=b2x-y and a4x+3=bx-5y We will use logarithm properties to solve the given:

Q: (D) e(-1-v2)x + cze(-1+v2)x If r2+2r-1 = 0 is the characteristic equation of a homogeneous D.E. with…

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Q: If number of columns of matrix A equals number of rows of matrix B then AB is defined. Select one: O…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: W = 0.3RX +0.7Ry, where Rx is the stock return from investing in stock X and Ry is the sto investing…

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Q: (D² - 3D + 2)y=e5x, Find Y = Yc + Yp a. 1 0² C²²² +₂²³ +2² Cet C 2 2x 5x 12 O b. O C. O d. Ce + Ce 2…

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Q: go- 2- 3y = *2+ 3x}

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Q: Write the equation „dr te +x dt dr in the form of +p(t)x=q(t). Then identify p(t) and q(t). dt…

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Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

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Q: 5. Find the general solution of (D³-D)y=4e*+3ex. Ans. y=2xe*+(1/2)e2+c1+c2e*+c3e*

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Q: solve the following second order differantial equation. (9D² +30D+25)y = 0 33 - D: derivative…

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Q: Find general solution of (x − 4y − 3)dx + (−x + 6y + 5)dy = 0 (DE WITH COEFFICIENTS LINEAR IN 2…

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Q: 7. Find: t2 (a) / V1+ t3 (x2 + 2)(x – 3) dx (b) / * /. - 2.x (c) xV (16 – x4 dx

A: To evaluate.a ∫01 t21+t3 dtb ∫x2+2x-32x  dxc ∫-22 x16-x4 dx

Q: What is the solution of (xy? – x) dx + (a²y + y) dy = 0 when x = 0 and y = 3 %3D O (22 - 1) (y² – 1)…

A: Exact differential equations.

Q: Find C so that y(x)=C(1-x2) a.  y(2)=1 b.  y(1)=2

A: To find the value of C so that y(x)=C(1-x2)...(1) with the given initial conditions.

Q: ( 2(x +1)cx = 3 If then a equals ?

A: