= Solve the initial value problem x' by using the fundamental matrix e ( 1 X = Choose one ▼ Φ(t) = - 5t -5 1 cos 4t -5t e sin 4t -16 -5 -4e¯ -5t -5t e )x₁ x, x(0) sin 4t cos 4t = )

Q: Find the most general real-valued solution to the linear system of differential equations a' x₁(t)…

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Q: 2] The linear differential equation with constant coefficients satisfied by the equation y = 2x 5e2*…

A: Hence option (b) is correct.

Q: Find the general solution to the nonhomogeneous equation using the method below: y^2 + 8y + 25 =…

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Q: Consider the following (x²-3x+1)y" -(x²-x-2)y'+(2x-3)y=0 on the interval I = (3,00) Verify that Y₁…

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Q: 1. Given the function h(x) = (3x-6)/(2x -4) find h^-1(x)

A: Since you have posted a multiple question according to guildlines I will solve first(1)question for…

Q: dz (b) Determine the by using the Chain rule with the following information: ds z = cos (rªy^) – sin…

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Q: At least one of the answers above is NOT correct. The system of first order differential equations:…

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Q: (2 dr z²–10z+15) Integrate:

A: NOTE: Refresh your page if you can't see any equations. . take long division

Q: The system of differential equations where 4340 9 -1 2 -9 has a general solution x₂ (t) = x' x₁ (1)…

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Q: Given y = Vx – 2Va – 2; Find y'. - |

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Q: y" +10y' +25y = 0,

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Q: Let differential equation               ay'''+by''+cy'+dy=0 and solution of DE is spanned by ex,…

A: Let differential equation                  ay'''+by''+cy'+dy=0 and solution of DE is spanned byex,…

Q: 30. E=2*10^5 I=30000 L=600 W=25 y = dy dx = W 120EIL 3 (-x ² + 21³x² - (^x) W 120EIL (-5X² +…

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Q: 4. y= cje²*+c2xe²*

A: Please see the below picture for detailed solution.

Q: Find the general solution of the given system of equations. -8 4 (구) (); x = c 1 -10r 2 Int + 1 +c2…

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

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Q: What is the solution of the given ODE xy' + y = Vx

A: Given: xy'+y=x

Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с)…

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Q: 1" + 9x = cos t Solve the initial value problem z(0) = 1, z'(0) = 2 a) 교(t) = 클sin 3t + 좋cos 3t +…

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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: E=2*10^5 I=30000 L=600 W=25 y = dy dx W 120EIL = 120 FIL (-5X² + 6(³X²-1²) ū assume as р 38, P = =…

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Q: dife equa Oʻu 4. -+X- +x +18 2

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Q: 27. (Critical point) What kind of critical point does y' = Ay have if A has the eigenvalues -6 and…

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Q: 0 _º(¹)_dt=1+x+x² solve the integral equation √x-t

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Q: Find the general solution to differential equations 2 1) (-2xy) dx + (Siny-x²) dy 2) dy + 3xy dx = x…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Let differential equation               ay'''+by''+cy'+dy=0 and solution of DE is spanned by ex,…

A: Consider the differential equation given along with its solution spanning set. Since its a…

Q: X= 2 etsin(2t) etcos(2t)

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Q: Consider the nonlinear time-dependent ordinary differential equation (ODE) y '(t) = y ^2 (t)+…

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Q: How do I linearize these non-linear 2nd order differential equations 52, x₂ (f(t)-k(x₁-x₂) - 0·52x²)…

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Q: -6 -4 9. The general solution of x' = x is: (w) x - Ce () + C [(-4) +(-)] (3) * = Cye" (:) + C" (…

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Q: 3. Solve the system by using the matrix exponential -2 3 x' = [ X 5 -1 2 x (2) = (2] 4

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Q: Please teach how to solve not just solve -0... What is i'x? NX1 What is MºMº? What is x'Mº' Mºx ? X…

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