dy 4xy+5y2 The DE: dx can be transformed into a seperable DE ху + 3x2 in x and z by using the substitution y= xz Select one: True O False

Q: dy 4xy+5y2 The DE: can be transformed into a seperable DE %3D dx xy +3x2 in x and z by using the…

A: We have given a differential equation and we have to find substitution to make it variable…

Q: dx -dx is converted to: 4+Vx By algebraic substitution, the integral |- 2ydy A y+4 dy B y+4 ydy © S…

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Q: dy/dx = (xy + y^2 + x^2)/(x^2) Finfd the solution of the above equation using a suitable…

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Q: dy x4y5 +3y9-8x9 The ODE is a first-order homogeneous equation. dx True False

A: Given ODE isdydx=x8y-23x2y7x4y5+3y9-8x9

Q: 3x Given f (x,y) =4e* In y with x = In (u cos t) and y = u sin t. The correct value of dz evaluated…

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Q: dy 4xy+5y2 The DE: dx can be transformed into a seperable DE xy +3x? in x and z by using the…

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Q: dz dz d For the function z= 4x° +7y+9xy, find dx' dy' ax2(-5, – 2), and dy 2(-5, - 2). dz

A: Consider the given function. z=4x3+7y2+9xy The objective of the problem is to find the partial…

Q: Inx Q1// B :- If u+v=e™ cos y and u- y=e*sin yfind the Jacobain of the alu, v) function a x, y at…

A: We have to find the Jacobian of the function ∂u, v∂x, y at the point x, y=1, 0 where u and v are…

Q: dy _ 4xy+5y² The DE: dx can be transformed into a seperable DE xy +3x2 in x and z by using the…

A: This question is related to differential equations, we will use the given information in question to…

Q: dx Using Rationalizing Substitution ·S =ff(v)dy, find fry)dy x√√x-1 O In(y) + C O2ln(y) + C O…

A: To find out the integration.

Q: dx S secx + 1 1+z² Ⓒ √ 1+ 2²/ dz S A 1-z² -z² B 1+z² © √²/²+²/d² S³ -dz 1-z² 2-2z² / 1²= D 1+z²…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: dy _ 4xy+5y² The DE: can be transformed into a seperable DE dx xy + 3x2 in x and z by using the…

A: Given differential equation is dydx=4xy+5y2xy+3x2 Now we have to check whether above DE transformed…

Q: dy Transform the equation into the form of dx xlnx variable separable equation . dr rinz + ydy = 0…

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Q: dy 4xy+5y2 The DE: can be transformed into a seperable DE dx xy + 3x2 in x and z by using the…

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Q: Find dt(t=1.s=0) dz when z 2x3 + 15y, where x t? -s and y =t+ 2s? %3D Enter the answer in the space…

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Q: dx using miscellaneous substitution will yield to secx + 1 Transforming Ⓒ S A 1-z² B 1+z² © √ 1 +…

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Q: The DE: dY - 4xy +5y² xy + 3x? can be transformed into a seperable DE dx in x and z by using the…

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Q: dy _ 4xy+5y² can be transformed into a seperable DE The DE: dx xy +3x2 in x and z by using the…

A: The solution is given as

Q: 4хy + 5y? xy +3x? in x and z by using the substitution y = xz dy = can be transformed into a…

A: We will use the substitution to try to transform the given differential equation into separable…

Q: Integrate the following using substitution 1) z5 (9z6 – 7)8 dz 2) S dy 4 y3 2-5y4

A: Given that: 1. ∫z5(9z6-7)8dz   NOTE: As per our answering guidelines, we can only answer 1 question…

Q: dx Using Rationalizing Substitution - =ff(v)dy, find [flv)dy X√x-1 O In(y) + C O Arctan(y) + C…

A: The given integral,      ∫dxxx-1

Q: dx given that dt Find 9x + 4y = 13 x = 1, y = – 1, and dy = 5 dt %3D Give your answer as a simple…

A: The given function, 9x2+4y2=13, x=1, y=-1 and dydt=5

Q: dy Gy =/x y+5/xy is a Bernoulli equation dx The DE: Select one: O True O False on

A: Given dirrential equation is:dydx=x y +5 xydydx -x y =5x y12comparing with

Q: dy I By writing u y", and using the chain rule, show that ) = ny- dx dx dy 2 Use the product rule to…

A: We have to find the derivative

Q: 1 z = Vuv, u = 3xy + 2x2 + e"-Y Find zzy at x = 1, y = 1

A: Topic:- function

Q: /// 2xz dV where = {(x, y, z) | 1 < x < 4, x < y < 2æ, 0 < z < x + 3y} Evaluate E E %3D

A: We are asked to evaluate the integral.

Q: x2-2xy a²+y? dy If the ODE dx is exact, find an integral F(x, Y) .

A: The given ordinary differential equation is: dydx=x2-2xyx2+y2⇒2xy-x2dx+x2+y2dy=0

Q: dx using miscellaneous substitution will yield to secx + 1 Transforming S Ⓒ √ ²² +²2 dz (Α) -z²…

A: This question can be solved by substituting z=tanx2

Q: dy 4xy+5y² dx xy +3x2 The DE: can be transformed into a seperable DE in x and z by using the…

A:

Q: dy - 4xy +5y2 xy + 3x2 The DE: dx can be transformed into a seperable DE in x and z by using the…

A: We have to solve

Q: Use the differential dyto approximate Ay when x changes as indicated. y = V3x – 2; fromx=2 to x=…

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Q: 4ex. Given: v dx 2 Applying rationalizing substitution, find dx in terms of z. 2 z dz A z²+2 (2z+z)…

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Q: dx (a) If x² + y? = 100 and = 15, find -when y is positive and x = 0. dt dt dy dt (b) If x2 + y? =…

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Q: dz dz Use an appropriate form of the chain rule to find and du dv' = e2x²y; 1 Vuv, y= z x = Enter…

A: Explanation of the answer is as follows

Q: 'x/2 dx Using an appropriate algebraic substitution, the integral - 1+x3/2 reduces to 2y² dy A 1+y³…

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Q: Solve the given DEQS by using an appropriate substitution. a) xyy' + 4x² + y² b) (2х + у + 4)dx + (х…

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Q: Q2: Sdve the differential eqpeation d²y =20"t 9Sin 2x -2Cos 2x %3D

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Q: dx Find given that dt 9x² + 4y² = 13 x = 1, y = -1, and Give your answer as a simple fraction. dx dt…

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Q: dy If the substitution m = y-x was applied to the DE: dr 1- 3(y- a), the resulting DE would be: dm -…

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Q: Classify the following DE: e+3y=x²y dy + 3y=x?y dx Select one: a. Seperable and not linear b. Both…

A: We have to check

Q: .729 dx S == Sºf(v)dy, find f(y). 64 √√x-3√x Using Rationalizing Substitution 6y² +6y+6+y-1…

A: Given:-∫64729dxx-x3dxsubstitute  x=y6 differentiate both sidesdx=6y5dychange the limitx=64,…

Q: dy Find - given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy i dt

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Q: dz Using Chain Rule, determine dt for the following functions 2. (a) z = x²y + x where x = sin(t)…

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Q: dx (a) If x? + y? 15, find when y is positive and x = 0. dt = 100 and- - dt dy dt (b) If x? + y? =…

A: we have to find the following

Q: dt (b) z = x?y where x = st and y = t2 – s2 dz 2st?(t? – s?)? – 4s³t²(t? – s²) as answer: az 2s²t(t?…

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Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

A: Given, u= ∫dx/(4+√x) We can solve it by substitution method.

Q: dx Assume that x=x(t) and y = y(t). Let y = x +1 and 4 when x 5. dt dy Find when x = 5. dt dy…

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Q: dx Assume that x = x(t) and y = y(t). Let y = x +7 and %3D dt =4 when x= 1. dy Find when x= 1. dt dy…

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Q: dy 4xy+5y2 The DE: can be transformed into a seperable DE %3D dx xy + 3x2 in x and z by using the…

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