56. Given that x+y - xy and that y dx dy when x 1 show that xy = e*

Q: 3 Evaluate x² 2 SOFT S S x² sin y dy dz dx

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Q: 1 5 X If y = - find dy dx at x = 2.

A:

Q: Q22. If y=tan x+ tan dy is: -then dx 2 (d) 1+x (a) 0 (b) 1

A: Given function is                                          y=tan-1x+tan-11x we have to find…

Q: if x²+y²=t-- and x*+y*=t*+÷,prove dy dx x'y

A:

Q: 15. Solve d²y +3 y + 2y = 3 sin x, given that when x 0, y =-0-9 Wor, OFer dx? dx dy =-0-7. dx and…

A:

Q: Q1/ Evaluate So (x² + 3y²) dy dx using Simpson's 1/3 rule in x-axis and Simpson's 3/8 rule in y axis

A: 1 Given integral is ∫03∫01x2+3y2dydx. We have to evaluate the given integral  by using Simpson's 13…

Q: (x– x'ye" )dy – dx = 0

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Q: Find the particular solution for (2y - x) dx + 3xy2 dy = 0 when x = 1, y = 1

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Q: 9. If y = sinh 4t and r = sinh t, show that 2 dy (a) (1+2²) = 16(y? +1), dr dy (b) (1+x²)- dx2 dy…

A:

Q: Find the particular antiderivative that satisfies the following conditions: dy/dx = 6x^(-2) +…

A: detailed solution is given below

Q: Show that y2 +x – 3 = 0 is an implicit solution to dx dy on 2y the interval -o to 3

A: To show that  y2+x-3=0...(1) is an implicit solution to dydx=-12y on the interval (-∞,3)

Q: 19 271. dx y= 1-X) dy = -Ldx -dy= dx S-(-yei) y" dy 99 99 100 100 99 dy dy 100 %3D + R00 100 ). %3D…

A: Refer below

Q: Solve for the given DE: y(y^3-x)dx+x(y^3+x)dy=0

A: first we will check this is exact or not this is not exact then we will find its integrating factor…

Q: ²+ re" = 2y + e² %3D

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Q: dx Suppose 10 = x + y' and both y = f(x) and x = g(t). If = 2 when x = 1 and y = 3, %3D dy when x =1…

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Q: A. Find dy/dx of the following. 1. y = e" + eVinx + 2 In(ex) 2. y = er" 3. eln 4x + eln 4y = e + e"

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Q: if x²+y²=t-- and x*+y*=t*+=,prove dy X t dx 3. ху

A:

Q: Q1-If x= cot- VE, y =, find d²y dx' dx2 at t = 2.

A:

Q: Find dy/dxin terms of x and y if (x−a)^4+y^4=a^4. Assume that a is a constant. dy/dx=   implicit…

A: (x−a)4 +y4 =a4 a is a constant. dy/dx = ?

Q: (b) Given that y(6x +1) e** = 1+ - In dy Find when x 0 and y=1. dx

A:

Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +…

A:

Q: 02/suppose 4x+ 9y 36 where x and functions of t Y are dy =1 Rind dX when x=2 and y = 215 3. if dx. 3…

A: differentiate with respect to t

Q: if x² + y² =t -- and x* + y* = t dy prove dx 1

A: Given, if  x2+y2=t-1t and  x4+y4=t2+1t2 To prove that  dydx=1x3y

Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

A:

Q: 5. Find the particular solution (IVP) for the DE below: a) dx +2 =8x when x = 2, y = 6 b) 3y2 = 2x +…

A: Use variable separable method

Q: 2. Find an expression for dy/dx on the curve x In(y) + x³ – 2y = 6.

A:

Q: Show that if you differentiate both sides of xy +4x + 2y = 1, the re- sult is (x + 2) + y +4 = 0.…

A: we have to show that the differentiation of xy+4x+2y=1 will result in (x+2)dydx+y+4=0 and then we…

Q: If x= 2t +t+1 and y=8t+3t+2 then dy at t=1 is dx

A: We have to find value of dy/dx at x=1.

Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

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Q: If y = x* cos' x-e* In( 7x +1) , then find dy at x=0. dx 3

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Q: * Q9 If y = cos(x + y)dx + (3y² + 2y + cos(x + y)) dy = 0, then M = cos(x + y), N = 3y² + 2y Ttue…

A:

Q: 6 If the substitution y = xº is made, the 64 3√√y 3 + √√y integral [ 1 dy will become

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Q: II. Find dy/dx of the following functions: 4. ytan (tanh.x) 5. y=e³x sechx 6. y = √sech5x

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Q: Q1-If x= cot-1 VE, y = find dy d2y dx' dx² at t = 2. t+1

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Q: Solve the following Exact DE using Method of Grouping. 3) () dx + () dy = 0 X-X y

A: Given:          2x-1ydx+x-x2y2dy=0     This is in the form of   Mx,ydx+Nx,ydy=0    where Mx,y=2x-1y…

Q: (2)S. dx where c = constant 0 cx let c-x = e-x In c

A: We use the definition of the Gamma Function to solve the given question.

Q: dy 2) Find implicitly: dx (a) xy+3x2 =y? (b) exy – Iny =x? %3D

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Q: 22. Find OY if y2 - 4xy + x² = 10. dx

A:

Q: Find d when y = 3 In(In(In(x))) dy dx

A: Here we can find the derivative as below

Q: 2. 2メ dy dx for y = Cos (ln x + e put lに

A: y = cos2(ln(x) + e2x)

Q: If a = 5+ti and y = 3t - t then dy at t = 1 dz is :

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Q1-If x= cot- VE, y =, find 2 dy dy dx'dx at t = 2. t+1

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Q: 2. Evaluate dy/dx for y= x In x 1+inx

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Q: dy 13. y(1) = e de ar(In y - Inr + 1)'

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Q: 14. e see" y dy = dx +x dy.

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Q: Q4/ Evaluate (xy + e") dy dx using Three point formula in x,y-axis and two point formula in z axis

A: You must have an basic idea of double integral to solve this.

Q: Can you help me step by step?

A: Let u=1+x^4

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.