dy 4xy+5y2 The DE: can be transformed into a seperable DE %3D dx xy + 3x2 in x and z by using the substitution y= xz Select one: O 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: dy Assuming - 2x³ + 8y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dx dy…

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Q: FIND dy AND dy OF x= VI-t AMD y= t° -st. dx a 4t Vit day dx2 7-1^7- d^y-4t %3D c.)dy – 4t JI-t %3D –…

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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: d"y Q5 dx * - 5 d³y +74 – 3y = 20 sin(x), y(0) = - 1, y'(0) = 2, dx use the method of Variation of…

A: This is 3rd order first degree non homogeneous ordinary differential equation.

Q: Find the general solutions reverse product rule. Give dy (a) = 2y – t dt dy (b) dt +2 dy (c) y sint…

A: The solution follows as:

Q: y=--; x = 2, dx Ax = 2 0. y%3D

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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: 3x sec (xy)dA; R={{x,y): 0 sxs7,0 sys 1}

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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: Given dy dy dz² +2 + 5y = e dr and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the…

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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…

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

Q: dy Assuming - 9x3 + 7y2 – 2xy = 0 defines y as a differentiable function of x, use the theorem dx =…

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Q: 3xz dV where E: {(x, y, z) | 0 < r < 2, x < y < 2x, 0 < z < x + 3y} Evaluate E

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Q: 2. Let y = x? 4x2 . LA. Find "dy". B. Find the value of "dy" when x = 4 and dæ = 0.01.

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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: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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

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Q: SSS 12z dV E where E is enclosed by z = x? + y² and z = 1 О Зл O 27 O 4T O JT

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Q: 7x 21 dy dx\x=2 ,where y = %3D Find x+1 Enter the exact answer. dy dx\x=2 %3D

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Q: dy Assuming 8x³ - 10y² - 2xy = 0 defines y as a differentiable function of x, use the theorem dx dx…

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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: (b) Given y = Ax + Ba?. Show that dy 2x- + 2y = 0. dx2 dx

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Q: The integrating factor of + 2xy= 5x² is dx dy а. b. x? e C. 1 - d. et

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Q: dy where C is defined by dx + x2 + y? Evaluate x2 + y? C T(t) =,0 <t< 2n

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Q: (Зх — Зу+ 4)dx + (x — у)dy %3D 0

A: Given equation is (3x-3y+4)dx+(x-y)dy=0 This can be rewritten as, dydx=-(x-y)(3(x-y)+4) Take…

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

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Q: dz = 2ni to deduce that z+1 Use the fact that (x+1)dx+ydy Sc O (x+1)dy-ydx = 0 and Jc (x+1)²+y² =…

A: Given ∫c1z+1dz=2πi ......(1)we have to prove that ∫c(x+1)dx+ydy(x+1)2+y2=0 and…

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: r(1,1) Evaluate oo) (3r + 4xy + ix) dx along y =x

A: we have to evaluate this integral by putting x=t

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: dy -for the each of the following : dx 3. Find 1-3x (a) y = 1- sinx -X (b) y = u°+In(4u), where u =…

A: We have to solve given problem:

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: By algebraic substitution, the integral - dx dx is converted to: 4+Vx 2 dy A y+4 2ydy B У+4 ydy (C)…

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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: dy in terms of y? dx %3D - 12. Given that 3x – tan y = 4, what is dy (A) = 3 sin" y %3D dx dy 3 cos?…

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Q: H.W: Evaluate 1I 34 08-2y dz dx dy 3-3X 3-3X-y 3) (x+y+2)dy dx dz

A: Disclaimer: Since you have posted a question with multiple questions, we will solve the first three…

Q: Integrate dy (a) y'Jy? +16 6. (b) V6x Vox-x* dx –

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: (y² + ry") dr + (5y² – xy + y* sin y) Let M be the coefficient of dx and N be the coefficient of dy.

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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: Find the sloution of the given DE dy y-x dx y + x = Yexact - y(0) = 1, h = 0.1 at x = 0.5 ? (find…

A: Introduction: Euler's method is a tool that is used to solve an initial value problem numerically.…

Q: Given x 26t +1 and y= 156t2 + 126 da (i) %3D dt on dy (ii) dt dy (iii)- da (write the simplifi

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Q: find dw/dx, dw/dy, dw/dz using implicit differentation. Leave your answer in terms of x,y,z,and w.…

A: To find the implicit differentiation of the function: ln(2x2+y-z5+11w)=z...(1) So, take w as a…

Q: Find the value of d-y/dx at the point defined by the given value of t. x- 6t 2 -3, y= t 5, t=1 3D1…

A: Take the derivative than eliminate the extra terms as required.

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.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.