Solve each nonhomogeneou 1. [32]

Q: Find the sloution of the given DE dy y-x dx y + x y(0) = 1, h = 0.1 at x = ( "

A: Introduction: The formula of the Euler method to solve the differential equation y'=f(x,y) is,…

Q: 100 000 61 383 52 279 Find the unknown number in between 45 000

A: It is known that: ∆=E-1, where ∆ is the forward difference operator and E is the shift operator.

Q: Consider the initial-value problem: y' =y-x, y(0) = 1²/12 Use Euler's method with h= 0.1 to compute…

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Q: Solve for the determinant of the following matrices using elementary row operations

A: Row-Echelon form of the matrixF=13153-2-70-42001010021100011

Q: 2011 x² + y² The system of differential equations X x² + y² is equivalent to a 1st order system…

A: A machine of differential equations is a finite set of differential equations in mathematics. A…

Q: a) State the inverse and contrapositive of the statement "V whenever he comes". b) Let A, B and C be…

A: To recognise any mathematical declaration, we need to first remember what mathematics is all about.…

Q: 1. Evaluate the given integral Q. -L LL²³ . = (2x − z) dz dy dx Зг 2. Give the (upper, lower,…

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Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around y=3. 2 A 16/3 B…

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Q: Question 8. The three given equations describe three different lines. Make a sketch and find the…

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Q: 7. The diagonal of a certain rectangle is twice its length mi minus 2, while its width is twice its…

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Q: 1) Find the parametric and cartesian form of the singular solution of the DE yy'=xy¹2+2.

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you. If you…

Q: = Reading Question 8.2.3. Consider the group G following claims is true? Select all that apply. (a)…

A: Consider the group G=D8 and its subgroup H=<r> Then, choose the true claims from the given…

Q: Solve the parabola and show the

A: Given,          y2+2x+y-3=0

Q: Question 4 Suppose T is a linear transformation such that 1 1 T 1 = 3 -8 1 2 T 0 4 6 T = 3 Find the…

A: Given that T is linear transformation such that T11−8=131, T−106=241 and T0−13=61−1. We have to find…

Q: 4) Let : Z--------->Z20 such that (x)= 16x; Show whether is a ring homomorphism or not

A: We will solve  (4) as you mentioned

Q: Let p be a prime and let G be

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Q: Solve the following ration equation algebraically. State any restrictions on the variable. 5 12-2 =…

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Q: Find the Saution of the equation using Inver's operator method y + 3y + 2Y = 4 cos(x)

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Q: 3. (a) (b) (c) (d) Consider the function f(x)=(2x−6)(x−1) x²-1 Find the asymptotes of y=f(x). State…

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Q: 4. Show that sinx can be approximated by x-x³/6 within 0.01 on the interval [-1,1].

A: see my solution

Q: Solve for the determinants using a combination of row operations and cofactor method.

A: as per the guidelines we are supposed to answer the maximum of one questions only.kindly post…

Q: matrices obtained from A by applying two sequences and F₁,..., Fa, so that U = Ep E₁A and V ..

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Q: 2) Given Gaussian Integers Z[i] and Z[√√-3] Then One of the following is False : a) All numbers 5 &…

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Q: Solve integration by (udv) T/2 DS Š X cos(x) dx 2) { X cos (ux) dx 7/2

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Q: solve the equation day + (2 cosx + tanx) dy + y cos³x = costic dx dx² by changing the independent…

A: Given differential equation is d2ydx2  +2cosx +tanx dydx +y cos2x =cos4x Here, P = 2cosx +tanx,  Q=…

Q: Find the four consecutive numbers whose Sum is 74

A: Given that the sum of four consecutive numbers is 74.

Q: 1. Find the value of 80+4 will form an that 3at3, 6at and aso arithmetic progression

A: We use the following condition to find the value of a: The condition for any three numbers will be…

Q: 2) Find the general solution of the DE y=2+y'x+y¹2.

A: Solution: 2) Given DE y=2+y'x+y'2 now,

Q: x సా Z = 8 + t 7x+6y9z = 0

A: To solve a linear equation with three variables we assign any two variables as parameters and then…

Q: 1) Z12/1 is not a Field Always because if we take the ideal I = Z₁2/1 is a Field. 2) The map y: Z₁-…

A: Given , f(x)=x6+5x5-15x4+15x3+25x2+5x+25 (.)   Eisenstein' s Criterion for…

Q: How long will it take for an investment of $32,000 in a mutual fund to mature to at least $100,000…

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Q: 2. (a) (b) The weight of a radioactive substance remaining after t years is given by -0.04t W=1000x2…

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Q: Let R be the region bounded by y = 4x + 2, y = 4x + 5, y = 3 - 2x and y = 1-2x. Which one of the…

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Q: 7. The diagonal of a certain rectangle is twice its length mi minus 2, while its width is twice its…

A: The the diagonal, d of a rectangle is calculated using the formula                   d2 = l2 + w2…

Q: ๆ 0 1 3 -2 3 - - - - - B 3 m C ܩ ܘ ܩ O - - - T 5 D =

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Q: Find the order and degree of e^y" - 3(y¹ ) ² + 2xy = xe^ and write the differential equation in…

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Q: Find the dimension of the subspace spanned by the given vectors.

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Q: 3 -6 9 B = |−2 7 -2 0 1 5 1 -2 3 1 5 -9 6 3 D = -1 2 -6-2 L 2 8 6 1

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Q: Q/ which of the following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

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Q: Parents of a college student wish to set up an annuity that will pay $350 per month to the student…

A: a Given information E=$350 t=4 years Rate of interest r=9% compounded monthly ⇒r=9100=0.09 Since,…

Q: The equation of a line is defined by y = k*x^5.2, where k = h/b^n as shown. If b = 1.1; h= 17.1.…

A: Given, y=hbnxn,n=5.2, b=1.1, h=17.1⇒y= 17.1(1.1)5.2x5.2 dydx= 17.1(1.1)5.2(4.2)x4.2 Length of the…

Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…

A: To solve this problem draw a diagram based on the information given in the question and formulate…

Q: write down detailed e− N-proofs  i) (√n+7)/(n+5) converges.  ii) (n2−3i)/(2n3+2i) converges

A: Follow the steps.

Q: Q.IA) Evaluate 2 (4) 4 cosy dydx

A: ∫02∫04-x2 4cosy4-ydydx We solve it by change of integration. In the above integration the strip is…

Q: 100 000 61 383 52 279 Find the unknown number in between 45 000

A: Solution

Q: 1. Find the trigonometric Faurier Series of the function defined by; filx) = x+# if (X. <..... ∞…

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Q: 22. Evaluate xyz dV, where E lies between the spheres p - 2 and p- 4 and above the cone - 7/3.

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Q: Find plane area bounded by functions y = x,y = 3,and x = 5.

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Q: Heating a large building requires 50 000 gallons of oil in 2013. As the building is extended, two…

A: Let a be the first term of the arithmetic sequence and d be the common difference. The n-th term of…

Q: [C 1. : Two vectors, F1 = 50 N and F2 = 60 N, have directions as shown in the figure below.…

A: Solution