Z eXZ 4. xyz dydx dz

Q: 2 dydx + f(x, y)dydx

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Q: y = 4(z – 3z) 3. dy Find dz dy %3D dz

A: To find the dy/dx

Q: | 4z(z* + 1)* dz Calculate: 0.

A:

Q: * jax vnen 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1

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Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: "T/2 y/8 5/y sin y dz dx dy

A: Here we have to perform the given triple integral in the mentioned order.

Q: dy + 6y = 9t dt

A:

Q: 8. Jydx + (1+ x)dy = 0,,when x = 1, y = 4

A: Differentiable equation can be solved separating the variables on each side and then integrating…

Q: 6. f(x, y) dx dy

A: Double integration and area of integration

Q: y=(6+ex)13y=(6+ex)13 Find dy/dx dy/dx=

A: Using differentiation with respect to x,

Q: x³ ex? dy y In y 2. dx ||

A: Given:                dydx=x3ex2y ln y Simplify:              y ln y dy=x3ex2 dx Integrate both…

Q: Js xng" dy dy

A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

Q: 2. HOMOGENEOUS COEFFICENT: x'dy+(2xy – y kix = 0

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Q: 26. Evaluate (x³ + y² + z)dx dydz.

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Q: Which of the following is not a meaningful triple integral?

A: a. ∫01∫0x∫x+y2x+yex+y+z dz dy dxb. ∫01∫0z∫x+y2x+yex+y+z dz dy dx

Q: 8. dy dx || = 1 x+y+1

A:

Q: 2x(y + 1) dx – ydy = 0 when x = 0, y = -2 %3D -

A: Here differential equation is given as 2xy+1dx-ydy=0or2xy+1dx=ydy⇒2xdx=ydyy+1⇒2xdx=dy-dyy+1

Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: S (sech*y – sec®y) dy

A: I =∫ (sech4y -sec6y) dyI=∫ sech4y -∫ sec6y dyI=∫ sech2y (1-tanh2y) dy       -∫ sec2y (1+tan2y)2…

Q: 1. S+1)dy y2+4

A:

Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: 3y 6. S dy y-3 7. SVIV7+xVx dx 8. S dr V1+r3

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Q: dx wherein x(2) = 4 り dy

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Q: 1 dy 20. If y = (t2 + 2)² and t = x2, determine dx %3D

A:

Q: 2+z² – xy dz dx dy Evaluate

A: The objective of the question is evaluate the triple definite integral.

Q: 3 メ=3tL 2. dt 2. dyt d x

A: x and y are function of t we have to find out the first derivative and second derivative for the…

Q: 1 (* ex+y dy dx

A: We need to evaluate the following integral ∫01∫0xex+ydy dx

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: 2x+y ' * C** ex+y+z_dz dy dx o Jx+y

A: Consider the given integral ∫01∫0x∫x+y2x+yex+y+zdzdydx

Q: 17 (7+ x²^ dy when y = dx Find %3| 7 – x²

A:

Q: xt) t osh 3t sinh 3t + ws (ot - )

A: If f(t) is a function of t defined for all positive values of t. Then, the Laplace transform of the…

Q: dy اذا كانت y = 3z2 + (sin(z وكان = *3ez؟ 4 : أحسب dx

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Q: Evaluate || (xz + zy)dx. dy.dz 0 <x <1 & 1< y< 2 & 0sz<1|

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Q: 12. Find dy for y = sec (3x). %3D

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Q: dy dz 2. x+1 y+1 z+1

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Q: dy dv 2 Find for y = = [ √3 +4 dt. 0

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Q: 26. x = 2y, y(1) = 5 dy

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Q: Hiw 2 4t é dt 2 O Sx Sečx dx

A: (1) Consider the given integral. I=∫csc3dx The reduction formula is defined as.…

Q: Find dy for y= dy= 2 4x + 8 X

A: Given.

Q: 9-y dy 5. S y

A: We will use trigonometric substitution.

Q: dy 4. = 4 sin 2x ; y = 2, when x = Tt/2 dx

A: Given a differential equation, dydx=4sin2x ; y=2 where x=π2 To find the general solution of the DE.

Q: 2x(y+ 1) dx – ydy = 0 when x = 0, y = -2

A:

Q: „5V7/2 V 25 – x2 xy dy dx + xy dy dx dr de = Jo

A:

Q: If y= (x+1). sech (Inx) find dy ノ

A: Use the product rule and chain rule of derivative.

Q: Q2. Find of y = 4x/x + V at x = 1? dx

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Q: Jar*dx = (1 +x*)y*dy

A: Follow next step

Q: 14. Find dy if y = sec(x² – 1). |

A: