Classify the following PDE: . 2 uxx = Uxy – 4uy au au + ду a u ди + 4 + 3 + u = 0 ax2 дхду ду azu k ди = 2, k < 0 ду

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: %3D

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Q: A 2. Find the distance between (-1, -7) and (5, 9). O 2v13 O 2v73 O v22 O 2V5

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Q: bläi 4 * find each of a,& b 3 - i 2 – 2i - If a + ib = 2+ 3i then 1– 5i' -

A: Given :         a + ib = 3 - i2 + 3i + 2 - 2i1 - 5i   To find a and b.

Q: If the percent decrease is 25%, what is the common ratio?

A: Common Ratio The common ratio is defined as the amount between each number in a geometric sequence.…

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

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Q: If z3 − xz − y = 0, find 2z - дхду

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Reduce to Canonical form Ur + 5 Ury + 6 uyy = 0 None UgE = 0 Uen = 0 = 0

A: compare the given equation with Auxx+Buxy+Cuyy+Dux+Euy+Fu=G therefore, A=1,B=5,C=6 find B2-4AC…

Q: (2) Write v as a lincar combination of u₁, U₂, U3 if possible, where U₁ = (2,3,5), u₂ = (1, 2, 4),…

A: Given that,  V=(10, 1,4)  u1=(2, 3,5), u2=(1, 2,4) , u3=(-2, 2,3)  To find : a, b, c such that…

Q: (13r-7) (&r-2)

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Q: 5. Evaluate J2xdx, a, x' +c b, x+c C. 2x+c

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Q: if u=3i+2j and v=-5i+4j determine 3u*2v

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Q: If zxy2xsin(y)+x determine the following: હિ Verify that Əz 022 022 022 022 xoy ex axdy dyox

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Q: Reduce to Canonical form y² Ur – 2 y Ury+ Uyy = Uz + 6 y O Um = 0

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Q: Simplify the expression (62)4.

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Q: у" — бу" + 11у' — бу — 4sin7х + 5 - %3D -

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Q: Given u = r² cose and v= = rsin²0, please write down the expression of ər 3 and 3 ди by (r, 0)

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Q: For nos. 1 and 2, use separation of variables to find a product solution to the following: ди ди 1.…

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Q: a. 2 uxx = Иxy - 4uy azu J2u azu ди b. + +4 +3+u = 0 ?х у дуг ?х ?x2 ди c. k = 2 ,k < 0 ду 02u ?хг

A: Classification of the Partial Differential equations

Q: LSdMsXFXAUuUIOLJrrhM9uiYZRdcxMxgBHHj4ddS9x_Do4b6qA/formRespon 9. In GL(2,Z,3), the inverse of 3. (2…

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Q: -1 Let A = 01. Compute A100 -2 1 1 3.

A: To compute the A100 first we need to diagonalize it to make the computation very easy.

Q: Evaluate xdydx 128 15 OB, 128 15 15 OD. 128

A: ∫02∫x2x y2x dy dx  =∫02x∫x2x y2dy dx  =∫02xy33x2xdx  =∫02x3y3x2xdx  =∫02x3x3-x23dx  =∫02x3x3-x6dx

Q: homogenous DE 3udv-vdv-udu-vdu=0

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Q: If the equations x = u? - v and y = 2uv define u and v as functions of x and y, find and %3D O A. du…

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Q: dx, dt d²x₂ dx₁ + dt² dt 7. X₂ = a₁ 8. X3 = X₁

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Q: Let a + 0. Assume that (5A – 3B) = I with | 1 2 3 A = 0 -4 -7 . Find ) 11 -1 the (2,3) entry of B.…

A: The given matrix is,A=1230-4-7011-1

Q: Glven that: -1 3 3. -2 3 -2 5. 4 -1 → rref(A) = -5 4 -3 6. -2 4. 6. 0 0 Rank(A) = Nullity(A) - %3D…

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Q: 8. The rationalizing substitutionw + 4 = u² transforms - dw into w+4 A. fu² - 4°du B. 2fu² - 4}du C.…

A: Given: I=∫w2w+4dw  ...1   As we know that; The Power law: ddxxn=nxn-1 And ∫a·fxdx=a·∫fxdx , where a…

Q: y+1 dy y+2

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Q: II. Evaluate the following. 2. z = (1+j)~j3 3. z = -j3(0.6-jo.8)

A: To Evaluate: z=(1+j)-j3

Q: :N N amd 9: N-oN are functions such that f is not onto but f+9 is onto Prove that 9 is onto or give…

A: Suppose that f:ℕ→ℕ and g:ℕ→ℕ are functions such that f is not onto but f+g is onto. To prove that g…

Q: If W = 2x 2 + 3xy2 - 20y-2+ 6u; where x = 5u2 +4v 2 and y= u - 4v3 , find §W / §V.

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Q: Uz + xuy = x²y, u (x, 2x + = 5x 2 %3D

A: Lagrange method for solving partial differential equation: Let us consider differential equation:…

Q: ди if x – y + u? + v² = 1 and x + y + u³e° : 2, find () ду.

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Q: а. 2 ихх — иху — 4uy a2 u az u b. əx² azu ди +4 +34 + u = 0 дхду a?u = 2", k < 0 ax ду ди C. k ax?…

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Q: Find u if vu = 2r 2r²r

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