Solve the initial value problem x' 8. -1 x, х(0) 4 1 Describe the behavior of the solution as t → 0o. -4 x = Choose one Choo Choose one 28 1 5 8 – 7t 1 e2t (); 8 e7t 1 2t #()-*-(;)~* 28 -2t 5 28 1 e2t 6 - --

Q: 5y' + xy = x2 + 5

A: We solve the differential equation by finding Integrating factor method. For the standard first…

Q: (8x'y*) (-4x"'y) * (2x°y¯³)-

A: 8x3y-4-2-4x-1y-32x5y-3-2=-4x-1y32x5y-328x3y-42 [we first get rid of the negative signs from the…

Q: Solve 2y'' - 5y' - 25y = 0, y(0) = 0, y’(0) = = y(t) = - 37.5

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Q: Find the general solution of y + (1/3)y = e"y Show your solutions on a separate sheet of paper. A…

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Q: Solve (D² – 3D + 2) y = 2e3 +4 sec (e-)

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Q: 2- y'" + 7.5y" + 14. 25y' – 9.125y = 0, y(0) = 10.05, y'(0) = -54.975, y"(0) = 257.5125 %3D %3D…

A: As per answering guidelines of Bartleby I am supposed to answer only first question. If you want…

Q: {In(æ² + xy+y³)} Find

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Q: x' y' 7x + 6y ||||

A: We have to find the value of x(t) and y(t).

Q: solve y''-y'=xex  using undetermined coefficient. The characteristic equation will be r2-r=0

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Q: -3 Given v = 9 10 find the coordinates for v in the subspace W spanned by 2 1 4 u1 = 2 U2 = and uz…

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Q: The nonhomogeneous equation with constant coefficients such that the general solution is…

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Q: Find general solution 2 1 a' = |-1 0 1 1 1 0

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Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: Differentiate. Y(u) = (u-2 + u-3)(u5 - 6u²) Y'(u) = %3D

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Q: s2+9s+2 L-1(, -) = 2e-t + 3teAt – e-3t (s–1) (s+3)) = 2e¬t + 3teAt ,

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Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: Refer to the figure below. Find a - b + c. x' - (, :)x+ () 3 X' = X + 3 ; X(0) = (;) 4e4t Answer : X…

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Q: SOLVE BY LINEAR METHOD - y'- 3 X Y = x 3 cos (x)

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Q: Solve the system 7 -1 [7] 6 2 dx dt with the initial value -6 -A [[:] x(0) = -15 x(t): || X

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Q: Solve for x in the equation 3* + 9* = 27* What is the sum of the coefficient of (x + y −z)8 What…

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: a. || 8 3)++ (-2) x+ t> 0

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Q: x/2 – x) · (e*² + x) dx = et + C 3

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Q: A virus is believed to be spreading through a sheep farm according to that equation N = 450 (11 +…

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Q: If u(x) = x3, then du = 3x2.

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Q: 20. '= 3 2 -1 2 1 -1, - (t) = -2t e² e³1 -4e¹-e-2t 2e3³t -e¹ -e-2t @3,

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Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

Q: he (D+D+1)y(x)= xe equation Solve the y,(x) = (x-1)e* -e y,(x): (x+1)e" y,(3) =x-1 (x-1)e"

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Q: 1 (6x–15x +9x) = x'e D² -D+3 true Error

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Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

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Q: Manuben

A: Please comment down for any doubt. I hope my answer helps you.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.