dy 1. Á + 6A

Q: (2у? + 4л?) da — rуdy — 0 - %3D

A:

Q: 1. х3dх — узdy %3 3ху(ydx — хdу)

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Q: d by f(z) = (x alytic, then C %3D

A:

Q: 2) у(и? + 1)du + (из — Зи)dy — 0 %3D

A:

Q: f (t) = 3e" cosh (In 2r -2t

A: Given,                 f(t)=3e-2tcoshln2t

Q: dy y = 5x y?, 7.2 dx +

A: Follow the procedure given below.

Q: 122 SSS(2x- (2x+3y+z)dxdydz

A:

Q: dx If - = Sh(8) d®, then h(0) de = ... V(4+x2)3

A: We will make use of only the basic techniques of integral calculus to solve this question.

Q: 5 dy = +C

A: We have to evaluate the integral using the above formulaes.

Q: dy

A:

Q: Q6/(A)Evalute ex² dxdy.

A: Given: ∫02∫y21ex2dxdy Evaluate the given integral. If the order of integration is x, y then…

Q: dy 1. If a? + e 2xy = r + (y-2), find when r 0. dr2

A: We have to find second derivative at x =0.

Q: S. dy |1+5

A:

Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

Q: that d (inx) =\xl"-;TT SX. dx %3D

A: We will use the sign-function σ(x) to prove the given identity. Where :  σ(x) = -1 when x<0 &…

Q: dx 4. JF*+x+1)

A:

Q: T scosce) 25-r2' 2. dz dr de 0 0

A:

Q: + 2y 90 sec dy d0 20

A: Follow the procedure given below.

Q: if dx =3 then k =2e3 %3D - Select one: True False

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Q: If Jo flx)dx= 31 and Jo gixldxX=16. find So'[ 4f (X\ + 6glx\] dx

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Q: 5x dy. 10.) Evaluate

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Q: e*Vex-1dx ex+3

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Q: شي/ عبمناسر العالتنةد درشا د dy يدتدا

A: We have to find integration for the given function.       NOTE - According to our guidelines we can…

Q: In r dx 7.)

A:

Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

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Q: =dx V7x +c O None 10 VA +c 10A +c

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Q: O Evaluate, (a) / 3y* In (y) dy

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Q: Sx² ex dx

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Q: dy Find if dx (² + 7)* 3 5,

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Q: 5) Зхуdy %3D ху?dy — ydx + 3dx

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Q: 9. J et dx 10. 4лr² dr

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Q: 2) dy : %D

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Q: 2) Evaluate | xy? dxdy D. where D: x+y² <2, x N 0.

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Q: e2y (е) dy |19+ edy)

A:

Q: dyニメリ

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Q: dy (4xy + dx (2x2

A: Given differential equation is: dydx+4xy+1x2x2-1=0 The above equation can be re-written as follows:…

Q: dy 12

A:

Q: 4. J(2y + 3)? у+2 dy

A: Find your answer below

Q: r8 17 - By?) dx dy

A: While integrating with respect to one variable , take other variable as constant.

Q: . Evaluate e* dr dy 5y

A:

Q: d²y If dx2 -n?sinnx , (y" = 0,y = 0 when x = 0), then: %3D

A:

Q: dy ||

A: The derivative of logax is given by ddxlogax=1xlna The chain rule states that the derivative of the…

Q: dy + 3x?y = 6x2 dx

A: A first-order differential equation is considered as separable if for the differential equation,…

Q: If 3x² + 2xy + y² = 2, what is? dx

A: Follow the procedure given below.

Q: 11. S ye-y°dy

A:

Q: 2. y3. dy

A: We can make it easier for you

Q: 3y) dy 8.

A:

Q: Evaluate: ³₂2₁ (4x²y – z³) dz dy dx

A: We have to evaluate ∫03∫-24∫104x2y-z3dzdydx.

Q: уз dy S 1+9y2 3.

A: