8.53. Solve the following systems by deteminants: ( 2x-5y+2z 2 x+ 2y - 4: = 5, 3x - 4y - 62 =1 (a)

Q: Obtain the general solution. (D² + 1)y= secx O y= C,cosx+ C2sinx + xsinx - cosxln|cosx| O y= C,cosx…

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Q: Q2/ The following system of equations is designed to determine concentrations (the c's in g/m³) in a…

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Q: Consider the following linear system of differential equations. = Y{ 196y2 1/₂2 4y1 Which of the…

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Q: x' = (C )x ´sec X + 0, 1

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Q: Consider two interconnected tanks of brine solution. Assume that Tank Y contains 20 litres of water…

A: We are entitled to solve one question at a time and up to 3 sub-parts only. Please post other…

Q: 2. Use the method of variation of parameter to solve the nonhomogeneous system X' = AX + F(t) where,…

A: X1=AX+F(t)A=1232    F(t)=2te2tThe characteristic equation of…

Q: 8. Consider the linear system Mv = y where 1 01 М— |1 1 1 1 v1 V = y = U2 6

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Q: : Discuss the existence and unique solution for the IVP y'= 3y3, y (0)=0

A: This question is related to Differential Equations

Q: Determine the number of integral solutions to the system x1 + x2 + x3 + x4 + x5 = = 25, X1 + x2 = 10…

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Q: Question Which of the systems shown b could be used to get a şoluti to the de fferential equation "…

A: Given DE y'''-2y''+6y'-8y = 0 since the given DE is a third order DE, to get the solution we have to…

Q: Q2/ The following system of equations is designed to determine concentrations (the c's in g/m²) in a…

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Q: 4. For which values A ER has the system 8z - 3z - 6y = dx 21 + y+ 4z = y 4r + 3y + z = Az infinitely…

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Q: For which values of the constant c is a linear -日 combination of a and where a and b are 62…

A: We have to find values of c

Q: A) (:: :) Verify that y = c₁cos(3x) + c₂sin(3x) is a solution of y' +9y = 0

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: The management of hartman rent a car has allocated $1.5 million to buy a new fleet of automobiles…

A: Let f is number of full , c is number of compact, i is number of intermediate size cars Total cars…

Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

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Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

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Q: Three large tanks contain brine, as shown in Figure 3.3.7. Use the information in the figure to…

A: Given To construct a mathematical model for the number of pounds of salt x1t,x2t,x3t at time t in…

Q: Find equations of the two lines that are tangent to the circle x2 + y2 = 1 and pass through the…

A: Given equation of circle,  x2 + y2 = 1  To find the tangents ti the circle and passing through (0,…

Q: 4. Write the solution of i = -y, ý = x, x(0) = 1, y(0) = 0 %3D

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Q: Transform the given system into a single equation of second-order x = 91x1 – 90x2 x2 = 90x1 – 90x2.…

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Q: 4. Solve the IVP: d?s t3, dt2 A. 20s = t5 + 200t – 100 B. 20s = t5 – 200t + 100 s(0) = 5,s'(0) = 10…

A: Given IVPd2sdt2=t3, s0=5, s'0=10sinced2sdt2=t3on integrating

Q: Use RK4.System] to solve each of the following for 0 sIs1. Use h = 2* with k = 5, 6, and 7, and…

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Q: 4. Find at least two, qualitatively different systems for which H(x,y) = e¯*y is a conserved…

A: We will solve this by differentiation

Q: 2. Express every solution to the following equation as the sum of a specific solution plus a…

A: Using elimination process Taking t as scalar

Q: Find an example of a nonlinear equation, which is not solvable using any of the methods: separable,…

A: We have to find an example of a nonlinear equation, which is not solvable using any of the methods:…

Q: Consider the following nonhomogeneous linear system: yi = 5y1 + 3y2 – 4e7t y2 = 4y1 + y2 – 4e¬t %3D…

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

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Q: Q2/ Show whether that there is a solution to the system by using Jacobi's mehtod when the initial…

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Q: - Ay A 3 1 -2 221 a-) Find a generol solution of the system ? 6-) Find a porticular solution of the…

A: Consider the given system of equation.

Q: Consider the following system of tanks. Each tank initially contains V1 = 200 gallons and V2 = 300…

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Q: Suppose el X1 = and X2 = are solutions of the homogenous system x' = Ax. Use the method of variation…

A: The solution is given as

Q: Q2/ Show whether that there is a solution to the system by using Jacobi's mehtod when the initial…

A: To start Jacobi method, the set of equations:…

Q: Transform the given system into a single equation of second-order x = 111x1 – 110x2 T2 = 110x1 –…

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Q: az (b) Solve and ди by applying chain rule if z = In(x² – 2y), and x = u + v, y = e". dv

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Q: Let (x, y,) be the solution of the following equations In 2 (2x) = (3y)n³ 3Inx = 2lny %3D Then x, is

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Q: The general solution of 5uxx – 6uxy +uyy = 0 -

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Q: Verify that y = c1x+c2Vx+ is the general solution of the 6x following nonhomogeneous 2.²y" – xy' + y…

A: Derivative of xn: Derivative of an exponential function that is, xn is given by the formula,…

Q: 20.Consider two interconnected tanks similar to those in Figure 7.1.6. Initially, Tank 1 contains 60…

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Q: Consider two interconnected tanks of brine solution. Assume that Tank Y contains 20 litres of water…

A: We will draw flow diagram Use rate of change = rate in - rate out

Q: Analyze the given system for b > 0, (fixed points, stability, bifurcation point, limit cycle, etc.).…

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Q: 5. The particular solution of y' + y = y¯² when x = 0,y = 2 is

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Q: (2) Find the solution with initial condition (6,6).

A: This is a problem of system of differential equation.

Q: Q2/ Show whether that there is a solution to the system by using Jacobi's mehtod when the initial…

A: To start Jacobi method, the set of equations:…

Q: 7. Use the Gaussian elimination method to find the solution set of the following systems and that of…

A: Given equation are: x1+2x2-x3=1......(1)2x1+4x2=2......(2)3x2-5x3=3......(3)

Q: Ball is thrown Vertically into the air at 120 m/s ,after 3 secanother ball is thrown.what initial…

A: Height of the first ball   S1t = -4.9t2+120t —1Height of the second ball  S2t = -4.9t-32+vt-3 —2v=…

Q: Transform the following initial-value problem into a system of first order equations. Do NOT solve…

A: Given the initial value problem  t3u'''+5t2u'+t2u=cos tu(0)=8, u'(0)=5, u''(0)=-2 Transform it into…

Q: 21/ solve one of the following Linear system: dx 1. - y = t? dt 2+ 4x = 1 dt

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…