ral soluion of qineral xy" + 2y'=6x Find the

Q: Find both first partlal deriva N = sinh(8x + 13y)

A: The function given is z= sinh(8x+13y) and we know that derivative of sinhx is coshx

Q: Find the solution to the differential equotion that Sotisies the quen inital condiion

A: The differential equation with initial condition is given as

Q: 4 Inx b) Evaluate x'dydx by first reversing the order of integration.

A: Solution Given ∫04∫0ln xx2dy dxwe need to evaluate by first revesing the oder of integration

Q: Find the Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: The linear approximation at æ = 0 to sin(2z) is A + Bx where A is:| Previev and where B is: |…

A:

Q: Ily approximate the differential dy when x changes from 64 to 64,07 Y

A: Since the student has posted multiple questions and mention to solve question numbers 1 and 2. But…

Q: sec( c)+y dy e sec do

A: Given differential equation is homogeneous equation

Q: 5 Find xy dydx. 4

A:

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: 8 Evelluate the double integral: + 3x) dydx

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Q: te dt.

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Q: A 20 kg wagon moving at a speed of 0.5 m/s towards right collides with a 35 kg wagon which is at…

A: Solution:

Q: use the elimnaton method zhみみ人みメ differential equeti cns

A:

Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

Q: 2. Evaluade integral.. iterated double ze^ dx dy

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Q: (ylny-exy)dx + ( + xlny) dy = 0

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Q: Pind the ualue of e is an integrating facko of ly-y')+xy'so

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Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: If UX = 6 and XY = 5 solve for UV. Round to the nearest %3D %3D hundredth. U

A:

Q: 5. Use differentials to approximate V4 + In(1.2) correct to two (2) decimal places.

A: Let us take the function f(x)= √x f'(x)=1/(2√x) f(x+Δx)=f(x) + f'(x) . Δx   ___i) Here let us…

Q: Evaluate the double integral [ Vy sin ydydx.

A: • Here, the inner integral w.r.t 'y' is difficult to evaluate, hence we have to change the order of…

Q: S tan ax secex dx 3

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Q: In² xdx

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Q: integral from -1 to 1 of arccos (y) dy

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Q: Find the solutton of followins ordinery differential e quation. yl- 2y' +y

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Q: dx y.= dy y arctan (-x 2a

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Q: Evaluate the integral (8 (8x+15y)dx + (27x - y)dy along the parabolic arc y = x² from (0,0) to…

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Q: THE AREA BETWEEN THE CURVES 4 y = x²³² AND y ²³ = 4X IS REVOLED 2 ABOUT THE LINE X= -1. SOLVE FOR…

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Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: solve for nonbermagnenous dilkeremrial equation . 4x

A:

Q: 64 ans: su 3 6. Calculate the area between the Curve fcx) = x²³²_4 and the lines y=2x + 4 and y=0,…

A: area between curve

Q: fil experini for dy txďn

A:

Q: 2) Integrate: S(29sinx + 6e + 5 cos x + Vx)dx

A: Given that, The integral ∫29 sinx +6ex +5 cosx+x5 dx By using ∫f(x)+g(x)dx =∫f(x) dx +∫g(x) dx ∫ 29…

Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

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Q: Change the order of in tegration 10 10 dy dx

A:

Q: Evalute Sofy ex* dxdy by first reversing the order ex² 3y integration.

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Q: Find dy dy dt at x = z - 1 if y = -5x² + 3 and dx dt 5.

A: topic:- derivatives

Q: Find the general solution to the DE using the method of Variation of Parameters: у" — Зу" + Зу' — у…

A: The solution is given as

Q: .find the integral by Gamma fun y(-Iny)5 dy

A: Gamma function is defined as Γ(x)=∫0∞xn-1e-x dx .               Disclaimer: Since you have asked…

Q: dy 1. sin 2ycos2y

A:

Q: EQUへTION (+2x?) AS A (40MOGENEOUS DIFFERENTIAL Ē QUATION SHOW TYAT AND MAKE AN APPROPRIATE…

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Q: sin³€ dt to ylomeldon 3.

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Q: * Find the intergration: dy

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Q: 1) (2cos³xsin x – ysin x – 1)dx – cos x dy = 0 ; when y ) = 3v2

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Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…

Q: Evaluate the double integral. 5 25- х2 dy dx Jo

A: First, integrate with respect to y

Q: dy = (1+3 siny)2xdx

A: We will solve differential equation using variable separable form

Q: Calculate I dx n=LobysimPsons4) rule

A:

Q: Find the differential equation of the family of spheres of radius r with Centre on the xy-plane

A: General form of the equation of the sphere with radius r and center on the xy plane is given by…