FIND THE EQUATION Of THE TANGEN+ L INE TO C, 3JE AT THE POINT ン

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: I am attaching image so that you understand each and every step.

Q: (a) Find the approximations T4 and M4 for 7el/x dx. (Rou T4 = %3D %3D

A: We have to find approximations T4 and M4 for the integral ∫127e1xdx Here T4 stands for trapezoidal…

Q: Find the real component if mid 09.png s(e)= a in vbet is evaluated at z = 9 + 4i when a=8 , b = 7,…

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Q: find the geeral aluten for d'y dy du Ay= eax (1+u*) du2

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Q: Use the equations to find əz/əx and əz/ây. e? = 8xyz %3D az %3D ax az ду II

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Q: Find the values of the constants a, b, c so that F = (axy + bz*)i+ (3x² – cz)j + (3xz? – y)k Is…

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Q: Use the substitutions : = ye S =X Q.3 to solve the du + y Əx PDE : %3D х, и(1, у) — сos y.

A: Using the substitutions we will solve for the PDE given as follows: ∂u∂x+y∂u∂y=x ∂u∂x+y∂u∂y=x…

Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

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Q: Transform the equation dy = ry into a variable da separable form. O vydy = xdx dy dy Vydy de %3D

A: We will transform the given equation into variable separable form as shown below

Q: dz where C is the bo + 6)

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Q: What is the domain of r(t) = e'i + j+ (t + 1)~³k?

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Q: The approximation of I = (x-3)e* dx by composite Trapezoidal rule with %3D n=4 is:

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Q: » / 13t – 41º + 4 dt = 6. (а) 1 - 5 Jū du: (b) dx = 4x3 (c)

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Q: z= em and a = 2t– 2s?, y = 2s – 2t, find az at t = 1, s = 1. at

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Q: Solve the DE by Variation of Parameters (D³ + D² – 2D) y = 4e 2" cos a Cos r y (0) = 0.4, y' (0) =…

A: given (D3 + D2 − 2D)y = 4e−2x cosx The auxillary equation is m3 + m2 – 2m= 0 m(m2  + 2m - 2)=0…

Q: utt = 0; x € (-0o; c0), t E [0, o) equation for u(x,0) = at

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Q: Find he value of ds /dy at u = 2 if s = t2 + 5t and t (u² + 2u)3 du %3D

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Q: Find the general solution for dø = z(z – z²)sec²Ø %3D | dz

A: the given differential equation is: dϕdz=zz-z2sec2ϕ we have to find the general solution of the…

Q: Compute f cos(Tæ) dæ + 10xy dy, where y is a part of parabola y = 3x? from the point (0,0) to the…

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

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Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

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

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Q: Solve for the DE equation associated by the given function: а. у %3D Ае2х + Bе* + C.

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y +…

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Q: Use the equations to find az/əx and əz/ðy. e? = 8xyz %3D az 1 1 az ay %3D y

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Q: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.

Q: Evaluate 2z dV, where E is the solid hemisphere a + y? + z² 0. E

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Q: express in the form y = f (x) by eliminating the parameter x =  e−2t , y = 6e4t

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Q: Express æ = e-t, y = 2e2" in the form y = f(x) by eliminating the parameter y =

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Q: What does dr stand for in terms of r(t)?

A: Given: What does dr stand for in terms of r(t)?

Q: Find the number m, such that the function y = ema is one solution of the ODE dy &y dy + 5- dx? = 0…

A: We will satisfy the solution with given ODE to get value of m.

Q: Find the exact value of dyd.r.

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Q: хdу — dy %3D (3x? — 3х)dx — ydx

A: The solution is given as

Q: - show that; L-1[e¬v$] = e %3D 2tynt

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Q: What is the relationship between ZW and ZX? 3,

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Q: What is the numerical approximation to -dx -1 2+x using the basic trapezoidal rule? (a) 0 (b) 2 (c)…

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Q: ) PV Is AN ALTITVOE TO OI メーD エF 41 = Sx+S エ FINO Mメエ

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Q: Determine all values z ∈ C satisfying  e^z = −2i.

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Q: nd ,I:J ar

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Q: Use the equations to find dz/ðx and dz/ðy. e? = 4xyz 4yz az 2 - 4xy %D ax 4xz Əz ду 2- Axy

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Q: Find r(t) if r'(t) = ti+ e'j+ 3te3t k and r(0) = i +j+ k. r(t) = Need Help? Read It

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Q: use laplace truns form to Solve Y't Y = f(t), y (0) = 0, where

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Q: Find f f'Lx) = ZR? +aX-S and %3D to FlO)=4.

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Q: te² i· k) dt V1 – ? 40.

A: Solving by definite integral we have

Q: Use the equations to find dz/dx and dz/ay. e? = 8xyz az 1 ax y az 1 %3D ду II

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Q: I = 4t? dt J2

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Q: Solve the DE: (1+ y?) dæ + (x²y + y) dy = 0 O Not Exact DE Exact DE

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Q: Given z = 10 In(t) and y = 100 t² then find %3D dy da d'y da2

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