The particular integral of (D – 10)10y= e10x is 10! e10z Yp z10 10 Yp = ()e10z 10! Yp = ( )e10z O None of the choices 10 Yp 10

Q: Evaluate the double integral S S (11a°y³ + 11eš")dædy

A: We have to evaluate ∫36∫2611x3y8+11e5x dxdy   We evaluate this double integral using iterated…

Q: The particular integral for (D2 + 12)y = cos20z is O yp (cos20z) 388 (cos20z) O Up 412 Yp = (cos20z)…

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Q: calculate the integral of: e(x^2/2)

A: We'll use the Maclaurin series expansion for e^(x^2/2).

Q: Q2:Solve the integrals as in below: a²+b² 1- j dy 2- S dy e -0.5 2y 3 1 3- (7-V5y ²)² . e dy 4- dy…

A: 2 . ∫0∞ e-(y2-3y)a2+b2  dy  = e-(y2-3y)a2+b2.(y33-3y22) limits from 0 to ∞ Now e-(y2-3y)a2+b2…

Q: 1. Find the following integrals. i) S 3e-2x dx 2x2-1 dx ii) S: 2x3-3х

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Q: The particular Integral for (D² + 19²)y = sin19z is Yp 38 O Yp 19 O None O Yp Zacon19z 38

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Q: Find the integral of s(2i - 2) dz x) dx N/3

A: ∫xndx=xn+1n+1+C

Q: Find the complete, singular and general integrals of p3 + q3 = 27z. %3D

A: We have to find the complete, singular, and general integrals of:  p3+q3=27z

Q: 1 Suppose we perform the substitution u=3+Vx in the integral dx . I (3+ Vx)4 What is the resulting…

A: we have to find the given integral

Q: Evaluate the integral. -1 4y3 2 dy 3

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Q: 1. Find a particular integral for d²y dy dr +4- + 3y = r? dr2

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Q: Evaluate the Integrals S(** - 8x + 7)dx а. 3 dt b. Jo 1-16

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Q: dz 2ydy In if we let y=z + 4, then the new integral becomes Vz+4 -2 у-2

A: Follow the procedure given below.

Q: I. Evaluate the following integrals: vdv 1. S 6v2-1 x+3 2. Sdx x-1 (v-3) 3. S dy y2-6y+1

A: The most easy method to evaluate these types of integrals is substitution method. Or else you can…

Q: Evaluate the integrals

A: Given: ∫-3-1y5-2yy3dy for evaluating this limit we first separate terms then integrate it

Q: 24. Evaluate the integral: ," dy y2+2y-3

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Q: Q2:Solve the integrals as in below: (y2-3y a²+b² dy 1+/y o 2- S 1- dy е (7 (7-J3y²) -0.5 2у 3 1 3- S…

A: According to the guidelines of bartleby I will do only first question please ask rest of the…

Q: The particular Integral of D'y = = -5 is O yp = 00 O Yp = 0 O Yp = -5z O None of the choices Yp =

A: Given that,

Q: 12. Find the integral of S (x². √(x² + ² =) dx

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Q: The particular Integral of Dy = 5 is O Yp = 00 O Yp = 0 O None of the choices O Yp 5x O Yp 5x2 2

A: Given equation is, D2y=5

Q: The particular Integral of Dy = -5 is Yp = 00 Yp = 0 Yp = -5x O None of the choices Yp 2

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Q: (a) Evalate the integral||xydy dx. 12

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Q: The particular Integral for ((D² - – 16)")y = e1z O yp O Yp 6 O None Yp sel6)z 6!

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Q: -1²- 5. Evaluate the integral e dV, where E is the region between two cylinders z²+z² = 4 E and 2²…

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Q: The improper integral J dx converges to x-5 4 о попе 1

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Q: So S(x + 3) dy dx 3. Evaluate the double integral:

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Q: The particular integral of (D² +1)y = x is

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Q: The Particular Integral for (D2 + 5D + 6)y = e3z O None O Yp 30 elz O Yp O Yp =

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Q: 3 c3 4. Evaluate the integral S ex+ydydx '2

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Q: 2- Find the the integrals: 1 ds 5s + 4 2s ds / 3yVT- 3y° dy d0

A: We have to solve the integral As per guideline we have to solve only three subparts

Q: 15. Evaluate the following integrals: (b) , Tax+1)3/2 (c) f, (8)05xdx. 30 8 dx (a) J 7x+5)1/3 ' -dx,

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Q: 1. Evaluate the integrals (a) fxsin 2xdx, (b) f(3x - 1) eª dx, Hint: Use the Integration by Parts. 3…

A: SOLUTION-

Q: Q/5 Evaluate the integral of: (a) St³et* dt dx (b) 2 x (In x)²

A: We have to evaluate the integral. Using the substitution method we can solve these questions.…

Q: Find an integrating factor to obtain the integral curve of (2ау — 16х) da + dy 3 0 that pass -…

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Q: In S-2 dz 2ydy if we let y=z+4, then the new integral becomes Vz+4 -2 y-2 A True B) False

A: Given ∫dzz+4-2

Q: 2. Evaluate the following Integral by using suitable method: S(ē3y dy 2y³+y y*+y²+1' 4 +e-2y

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Q: S( z +1) e2² dz

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Q: In y -dy 4

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Q: 1 . Evaluate the integral: S, S (4x³ + 6xy - 3y²) dx dy -1

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Q: Sa-1) CX-2xtら)

A: To find the solution of the integration.

Q: Q2:Solve the integrals as in below: 2-3y a² +b2 dy 1- j 2- S 3 (7* (7-3y 2)2 dy 0.5 2y 3- S -1 7 + e…

A: (Solving first three subparts as per our guidelines) Solution: 1.∫01yy5+1dy Now, ∫yy5+1dy…

Q: Apply the techniques of Example 7.1.5 to the evaluation of the improper integral 8 dx 1 = (a) Let…

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Q: d) Prove the results of the integrals 3 dx = 2+ In (2)– 4 [In (5)– In (3)]. x² +3x +2

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Q: •3y 4 1. Evaluate the integral , S" 3 + x² + dxdy

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Q: Find the integral of t/(t^4+2) dt

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Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

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Q: The particular integral of y" + 5y' + 4y = 3x +2 is

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Q: 23: Evaluate the integral of ſ (5y+7) 5 dy

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Q: Evaluate the integrals in ∫2 t e-t2 dt

A: Given:2∫ t e-2t dt