3 ve the nonhomogeneous system tY' = (²2 =²) x + (-²₁) -21). Y (2-2)

Q: 5x Differentiate y= (4x – 3)* * 4x + 1 y' = (4x – 3)5 -60x – 15 y' = (4x – 3)5 - 15x + 1 (4x – 3)5 |…

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Q: (1) y" – 4y' + 3y = 0. (2) y" – 8y' + 16y = 0. (3) y" + 2y = 0.

A: 1) y''-4y'+3y=0    Auxiliary equation of y''-4y'+3y=0 is    m2-4m+3=0 ⇒m2-3m-m+3=0⇒m-3m-1=0⇒m1=1…

Q: Consider that Let the solution of equation y₁ = x² y2 = 3x² - y3 = 4x-2 2 x² x²y" + xy' 4y = 0…

A: All the parts are solved properly with detailed explanation.Hope you got your answer. If any query…

Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

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Q: Determine all solutions. y'= (x-y + 3)²

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Q: a) (3xy - y' + 2x) dx + (2xy 3xy + 1) dy = 0, y(- 2) = b) (ye* + 2e* + y²) dx + (e* + 2xy) dy = 0,…

A: A differential equation of the form M dx+N dy=0 is said to be an exact differential equation if it…

Q: Use variation of parameters to solve the given nonhomogeneous system. (*:)* (-) (:*)- X' -1 7 X(t)

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Q: y' + (=) y = xy²

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Q: 8.) y" +2y' +5y = 3e 2* ; and y(0) = y'(0) = 1

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Q: Find two linearly independent solutions of 2x2y"-xy'+(-6x+1)y=0, x>0 of the form

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Obtain general solution. 1) y''-y=ex-4

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Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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Q: (4xy+5y)dx+(4x² +15xy-12y)dy=0. Use two methods.

A: Note: according to our guidelines we can answer only first question because there are multiple…

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. X' = 4 9 3 X +…

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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: Find the GS of 2 (x - α)² = where a is an arbitrary constant and you may want to consider "pilot" y₁…

A: As per the question we are given the following nonlinear first order differential equation…

Q: y₁' = -3y₁ - 4y2 +5et y2' = 5y1 + 6y2-6e¹ dan diketahui yı(0) = 19, dan y2(0) = -23,

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Q: Find two linearly independent solutions of 2x2y"-xy'+(-6x+1)y=0, x>0 of the form

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Q: Solve (1-x³) y' -2(1+x) y = y5/2 Bernouilli

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Q: 2.ryy' = y? - 2x. Find the solution that passes through the point (1,2).

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Q: Solve the system [: 16 -36 dx dt 6. -14 with the initial value 13 x(0) 5 -5e^(4t)+13e^(-3t) x(t) =…

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Q: y(4)+3y'''+2y''=12x2 High nonhomogeneous equations

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Q: Consider the linear system y' = Aỹ with (a) Find the general solution. 1 4 = (-5₁3) A -1

A: To find the general solution of the linear system y' = A y, we first need to find the eigenvalues…

Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

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Q: Solve (1) 5-3x 2. (2) 4. 2 3 y-31 y-5 2 5 (3) 2. 4 4)

A: since we answer only first three sub-parts so we will answer first three. Please resubmit the…

Q: Find y' implicitly. 1. (x + y)² = 4y 2. (x + 2y)² = x + 10 of 1

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Q: Solve the system of first-order linear differential equations: x₂ - 6x₂-x₂+2x₂ x₂ = 3x₂-x₂ x₂ = x₂

A: The given system of first order differential equation is: x1'=6x1-x2+2x3x2'=3x2-x3x3'=x3 This system…

Q: Solve the system X'+y' + 2X = 0 Sint (1) (2) %3D

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