-1 3 5 Let A-1 1 -1 1 and b -7 Find a solution to the sys- -1 2 tem Ax = b.

Q: B. Solve. VNHS 16-18. If VN+ SH = 30 cm and VN+ NH = 20 cm V N Find VN = cm SH= _cm NH= 19-20. If VH…

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Q: -2 Let a = 3/2 1 [3/2 -1/2 E GL2(R) -1 1. Compute (ba)-1 2. Solve for x in ax = b

A: Given,            a=-2132-12 , b=-1321-1

Q: Solve the initial value problem dt 1 10 -1 -3 x(t) Enter answers as z(t) and y(t), where Y(t) = ().…

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Q: Solve the given initial-value problem. 3 11 16 X' = 4 0 X, X(0) 1 1 X(t) %3D

A: Given x'=31116040113x and x0=150 We have to to solve the given initial value problem. Let…

Q: Example 11. Find a particular solution of equation ty" – 2ty' + 2y = t°e*. yUni 13 21

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Q: 2. 9y" – 12y' + 4y = e-3x

A: According to our policy at Bartleby, I can solve only 1st question. Given a non-homogenous second…

Q: 552 – 4 I(x)= £2 + 1 |1 – 45| 12 – 1,000 f(x) = 5 4r2 – 6 1– 452 m(x)= |4s – 1| g(x)= -4 g3 – s2 + 4…

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Q: 8 52 12 Given A = 1 - 4 - 20 and b describe all solutions to Ax = b in terms of the parameter t. 2 4…

A: system Ax=b is  -58521-4-20-2-4-8xyz=12012 augmented matrix is  -5852121-4-200-2-4-812

Q: Solve the initial value problem. 3) x' = Ax, x(0) -3 where A = 4 -3.125 %3D 4.8 8.

A: The solution is given by using eigenvalues and eigenvectors of coefficient matrix

Q: Approximate the sum of the series correct to 4 decimal places

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Q: valuate the following: a. L {e3t + cos6t - e3t cos6t} b. L-1 {6s/(s2 + 25) + 3/(s2 + 25)} c. L-1…

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Q: e) None of the above. 0 1 0 0 0 1 x is: he general solution of x' = -4 4 1 (1\ ( 1\

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Q: 2) Consider the equation (x – 1)y" + 3y = 0 a. Does a solution y(x) = E=0 Cnx" exist for the given…

A: given x-1y''+3y=0 claim part(a) to check whether the solution yx=∑n=0∞cnxn exist for given equation…

Q: 2 100 Given A = |4 3 6 x = and b = | 350 L0 -1 200 Solve the maxtrix equation Ax = b for x

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Q: y" + y' – y = 0; when y(-4) = 7,y'(-4) = 1 %3D

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Q: QUESTION 17 (x() If X= x2(t) is solution of the IVP X =0 1 0 X, x(0) (0 4-4 then x1(t)+x2(t) + x3(t)…

A: Let us consider system of differential equation: x'=Ax Find eigen values of coefficient matrix. Let…

Q: - Solve the initial value problem x' = ( 1²¹ )x, x(0) = ( 5 Describe the behavior of the solution as…

A: In this problem, we have to find the solution to the initial value problem, x'=7-151x, x0=2-3. The…

Q: Use these fundamental solutions, e-2x and e-4x, to solve the initial value problem yII+6yI+8y=0…

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Q: 10. Solve 0sxSa, 1>0 subject to the conditions dt ax O (0, 1) = 0 (a, t) =0 and 0(x,0) = 6,…

A: 10. Given partial differential equation is∂θ∂t=∂2θ∂x2 with initial conditions…

Q: 8. y' + y = y²,y(0) = –1/3

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Q: al.1.a solve the initjal condition problem dA - 0.07A, A (0)- 1000

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Q: 21. The number of solution(s) of the equation 3 cosh(2r – 1) = 3 is A 1 с 2 D 3 0-2

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Q: Solve the initial value problem. 3 3 X' = AX, X(0) = - [1³]. , where A = 15 دیا بدأ من 10 3

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Q: QUESTION 17 (x() If X= x2(t) is solution of the IVP X =0 1 (0 4 -4) X(0) =0 then x1(t)+x2(t) +x3(t)…

A: We have X'=04-4010001X, X0=001 Now, we need to find the solution of X'=AX  Here, A=04-4010001 First,…

Q: 1. (10 points) Use the method of variation of parameters to solve y" + 4y' + 4y = e-2t In t

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Q: Find the solution of the initial value problem. Write the answer in explicit rm. y'= -2+1, 21 + 1.…

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Q: -2 10 4. Solve 7.X +2.A = B_for X when A = 3 -5 and B= -10 1. -1 3. 6. 6. 4 4 1 7 16 11 16 11 16 X =…

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Q: Xn+1 = 1 converges to a solution of the equation x² + x- Xn 11 = 0, [2,3]. True O false

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Q: 2. Find all equilibrium or constant solutions (if any) to the ODE below dp dq dp dq 3

A: In this question, the constant solution of a differential equation is to be determined. Constant…

Q: Example 6.17 Solve the difference equation Yra + 2y = 0 (k > 0) given that y, = 1 and y, = ,2.

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Q: -34 1 Find the solution the initial value problem x' = 1 %3D X, -9 ()- x(0) =

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Q: d²q dq +3-+ 24=8(t-4) subject to initial conditions q'(0) =0 and dt 1. Resolve q'(0) =0 di? if a=23…

A: We will find out the required value.

Q: Example 3.37. Solve the equations 2x + 3xy + y² = 3, 4x² + 2xy +y = 30 correct to three decimal…

A: Using the newton-raphson method, we need to find the solution of the given equation with an initial…

Q: Solve the initial value problem dt 5Vi, y(1) = 9. (Use symbolic notation and fractions where…

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Q: -2- = 0 6. Solve axi at by Bender -Schmidt method ,given u(0,t)=0,u(4 ,t)=0, u(x,0)=x(4 – x) Assume…

A: Given ∂2u∂x2-2∂u∂t=0 and the conditions u(0,t)=0  , u(4,t) u(x,0)=x(4-x) with h=1 and t=5 The…

Q: -2 Let a = 1 [3/2 -1/ 1. Compute (ba)-1 2. Solve for x in ax = b

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Q: . у" - у' + 4у 0%; у(-2) 3D 1, у'(-2) %3D 3

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Q: Solve the given initial-value problem. I'= 2r, -1- 4x, + 2et x= 2x, - 4x, + 3et 1, =x-21, +et given…

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Q: у" — бу' + 13у %3D 0, у(3 - 6y'(9) =7 ||

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Q: 7. Find a + 6+ c if ¢(x) = aeª + be“ is a solution to the initial value problem: y" + y' – 2y 0;…

A: Hence option (c) is correct.

Q: · 3x²y+ y³ + 2xy²y' = 0, y(2) = 1

A: given differential equation we have to find the general solution

Q: - 47 Find sec exactly. 3 2 (B) (M) - (A) 2 (C) · V3 (E) None of these

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Q: a. Solve the following initial value problem: xy =(y-x)'+y; y(1)=;.

A: Solution: The objective is to find the general solution to the given initial value problem.

Q: -2 -2 Solve the initial value problem dt Ý,Y(0) 3 (t) Enter answers as z(t) and y(t), where Y (t) =…

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Q: Solve the initial value problem x' 8. -1 x, х(0) 4 1 Describe the behavior of the solution as t →…

A: First we find the eigenvalues and corresponding eigenvectors of the coefficient matrix and then we…

Q: 1 al 1z(z -4)e – 4)e z=1

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Q: 29. Solve the following system of equations. Give exact solutions, not decimal approximations! S In…

A: To solve the given logarithmic equation.

Q: 5. Find the largest constant r so that o(x) = e"" is a solution to y"-2y"-y+ 2y = 0. -5 O 2 O 7/2

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Q: Let A= (11). It can be shown that etA - et Use this fact to write the solution to the initial value…

A: Given that A=1101 and y(0)=01.