AISO is isosceles with IS = IO. 22 = 2x+24, mZ3 = 6x– 52, %3D %3D nd mZ1. 1/ 3 bX 2 bx -52-180 S x- 732

Q: Find the laplare transfurmution of the followsng 3X+3y +5X = 25 Cost , X(0) =2 %3D 2x'- 3y' = 5 Sint…

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Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: 4x Compute (2x + 4yz) dz dæ dy 1

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Q: A particular solution of 4x' d´y dx? +8.x- dy 4 is +y de

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Q: Find the solution to the DE. (y- x+ xycotx)dx + xdy=0

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Q: Exercise: Answer the following by finding dy/dx. 5sin-1 # – cosh x (a) y = Vsec4 x + In 7 4 (b) + In…

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Q: (у — ӕ + хусotx)dx + zdy — 0 y(0)= 3

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Q: d. Use your answers for parts a and b to estimate 1 -dx using the trapezoid rule with n=4

A: Approximate by trapezoid rule

Q: G YA PAZ E X F 7. PZ = 5 and GY 12. Find GP. (purple) %3D

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Q: JK = 4x + 8, %3D KL = 5x + 6, and JL = 86, %3D Find KL. J K L

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Q: In the given Bernoulli's equation 6y²dx – x(2x³ + y)dy = 0, what is ƒ P,(y)dy?

A: I have appended the formula used in the solution part

Q: What is P,(y) if the given DE is xydx – (3y – x²)dy = 0? %3D Select the correct response:

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Q: Use Euler method to approximate the value of y(0.2), given               ay' - by = kcos(cx) + mx…

A: Given that, ay'-by=kcoscx+mx,   y(0)=5∆x=0.025a=2, b=4, k=6, c=2 and m=7We need to find y0.2 using…

Q: Use Euler method to approximate the value of y(0.2), given ay' - by = ce^(kx) + mx , y(0) = 8 with…

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Q: dz Find- at t = n, if x=21sin' 12t + 170, z=19cos12t +190t . %D dx

A: The value of sin (npi) = 0 We will put t=pi in dz/dx

Q: Use Euler method to approximate the value of y(0.1), given ay' - by = ksin(cx) + mx , y(0) = 12 with…

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Q: Use appropriate substitution to solve the following (iv) zy" + (y/) 0. %3D

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Q: 4. 2a y' = y (y² + 3x?)

A: For the solution follow the next steps.

Q: Calculate the “n” of the DE with the given 6y^2dx-x(2x^3+y)dy=0

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Q: 34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin*…

A: Which of the following is solvable directly by power rule of antiderivative?

Q: Calculate . (x² + x²)e²as, where S is the cylinder with equation x² + y² = 9 for 0 < z < 10.

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Q: If f = 5xy2 - X³Y then find df at (1,1) dy %3D

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Q: 4. Determine the c, and c2 so that the y(x) = c,e-* + cze8x + sinx that will satisfy the initial…

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Q: Use Euler method to approximate the value of y(2.2), given               ay' - by = cx2 + dx   ,…

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Q: Use Euler method to approximate the value of y(0.1), given               ay' - by = ce^(kx) + mx  ,…

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Q: For the given DE with coefficients linear in two variables, do the following: (6x – 3y + 2)dx – (2x…

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Q: Q.3 a) Verify Green's theorem for |(x2 + 2xy) dx + (y? + x³y) dy Where c is a square with vertices…

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Q: Evaluate xy dx + a*dy, where C is the rectangle with vertices (0,0), (2,0), (2,1), and (0,1)

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Q: The auxiliary (charasteristic) equation of the DE x²y" + xy' + y = 0 is %3D

A: Euler-Cauchy type differential equation: Let a equation x2y''+y=0 ..(i) Put y=xm in the given…

Q: 8. If JM = x + 17 and MK = 5x – 23, find JL. %3D H. 'K

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: 4 dy 5. х dx + бу %3D 3хуз 3xy

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Q: 1 Evaluate dV, where E lines between the spheres a2 +3? + 22 = 1 and E 22 + y2 + z2 = 9 in the first…

A: Solution

Q: Solue d?3e 2 +4x=5in zt using methoel I Vorintion of parameters .

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Q: The approximation of x'e"dx by Gaussian Quadrature with n=2 is (Use c21 = C22 =1 and r21= r22

A: Given :                 I = ∫01xeexdx

Q: the fact tbot E andL ofther,. L(x), 「ヘve-ses are Lbe)ミ1ax using of ench ofher, the formula well…

A: Given : E(x) and L(x) are the inverse of each other

Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

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Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1\ dy…

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

Q: *?Which of the following equations Is an exact differentlal equation (x² + 1) dx – xydy = 0 2xydx +…

A: We have to choose correct options.

Q: find for x=1 the y value for partivular solutiom, (D^2+3D-10)y=0, when x=0, y=0 and x=2, y =1

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Q: Given z=3 In(t) and y=9t² then find dy de dy da %3D

A: We use parametric differentiation

Q: Find the general solution of this DE using INSPECTION. dnda + +(x? t y?)dx = 0 2 aycdly

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Q: s zy dydz こミ0

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy +y dx = 3x?y? becomes dz…

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Q: Use the equation e = 2xyz+1 to find %3D az/əx and əz/ay.

A: We have to find

Q: 6 Given tthe sketch below of メ where z=x=+ y dx = -3 =-a fmin, = 1fhan; スコマ#; 4=6fe -1) スコ8#34=6€ dt…

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Q: dy The D.E. y2 – a? - can be classified as %3D dæ (A) First-order linear (B) Separable (C)…

A: We break this into simplier form then identify it's property.

Q: Evaluate: [S y² dV where E the solid hemisphere x² + y² + z² 0

A: We have to evaluate the triple integral ∭E y2 dV on the solid hemisphere x2+y2+z2≤9. Observe that…

Q: The sum of Hthe first S=3n²+4a fFinal+he li mit an is nlmits ofar plogression an arthmctic

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