The DE : y' = e5x-7y is seperable Select one: True False

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx |1– y²

A: Solution is given below:

Q: The linear approximation at æ = 0 to sin(2z) is A + Bx where A is:| Previev and where B is: |…

A:

Q: Find the differential dy: y = In (sec² (3ª²–2x+5)).

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Q: 37. - dy y. dt

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Q: Inx dx, 2. Integrate (1) using the substitution u = In x (ii) using integration by parts.

A: Integration by substitutions and by parts

Q: sec( c)+y dy e sec do

A: Given differential equation is homogeneous equation

Q: Evaluate the double integral : (y³ – 12x) dx dy -

A:

Q: Solve the IVP by finding appropriate integrating factor an (2² + y² – 5)dx – (y + xy)dx = 0, y(0) =…

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Q: use Separation of Variables to find the general solution. dy/dt= y tan t

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Q: Obtain the solution using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

A: Find your answer below

Q: solve the differenhal equa hon by varianon of parameters y" + 3y't 2y 7 te* y (x)

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Q: Find the total differential. z = 10x"y3 dz =

A:

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); fi-) U =

A: we can solve this as follows:

Q: Differentiate: y = /16 – z² – 4 arccos() e+4 y' = Oy= Oy- %3D

A: Given that : y = √(16 - x2) - 4arccos(x/4). We find derivative of this function (y).       Here i…

Q: 2, t'y"+ty'+y= Cos(int)

A:

Q: tany = C secx

A: The question clearly asks us to find the family of orthogonal trajectories of the given family.…

Q: Find dy/dt of y = Ssin (cost) and simpli -t -cos t cos t V1-? the

A: Given:- y=sin(cos-1(t))  To find:- y'

Q: In x 2. Integrate -dx , (i) using the sub stitution u = Inx (ii) using integration by parts.

A: Integrate by substitutions and by parts

Q: Reverse order, then integrate SaE ) dydx. Vx \1+

A:

Q: 2. у(у+ 2х — 2)dx — 2(х + y)dy 3D 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff, ∂M∂y=∂N∂x

Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

A: I am attaching image so that you understand each and every step.

Q: What is the integrating factor of the linear DE of order one ydx + (3x - 2y +5) dy=0,

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Q: Find the total differential. z = 2x6y9 dz

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Q: If x = y3 - y and dy/dt = 5, then what is dx/dt when y = 2?

A: Given,

Q: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: and where B is:

A:

Q: Obtain the solution using Integrating Factors Found by Formulas. 2(2y2 + 5xy- 2y + 4)dx + x(2x +…

A: We can solve this using integrating factor

Q: Find dy/dr by differentiating implicitly if z +ry- 6r = 2.

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Q: Obtain the general solution using variation of parameter. (D² + 1)y= cotx

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Q: Compute the differential dy for y = 7x° – 4x2. dy =||

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Q: What is the integrating factor of the non- exact DE (4ху+ 3у?-х)dx+x\x+2y)dy %3D0 ?

A:

Q: Find the total differential. z = 5x3y8 dz =

A: The solution is:

Q: xydx – (x² + 2y²)dy = 0 ||

A:

Q: Find the total differential. z = 6x1°y8 dz =

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Q: find dy/dt. y = sin2 (πt - 2)

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Q: The Integrating Factor for the DE y dx = (ye' – 2x)dy %3D is: -2y レマ None of These 2y

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Q: Obtain the solution using Integrating Factors Found by Formulas. xydx - (x² + 2y²)dy = 0

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Q: dy Find by using Chain Rule for y = sin³4t dt

A: Here we do u and v subsitution to get the derivative of given function.

Q: The work done W,to stretch a spring from its natural length to an extension of 2 meters Is given by…

A:

Q: The linear approximation at x = 0 to sin(6x) is A + Bx where A is: Preview and where B is: Preview

A: First of all, consider the formula to find the linear approximation at any point a for function any…

Q: Find the total differential. z = 10x6y7 dz =

A: Differentiation of xⁿ = nxn-1

Q: Calculate cln 2 I = Ver – 1 dx thanks to the change of variable u Ver – 1. U = -

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Q: Verify the linear approximation at ( 0, 0) for e^x cos(xy)

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Q: Q10.a) Find rsinx if tnx Jt +5 dt + siny = x – x²cosy

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Q: What is the integrating factor of the linear De of order one ydx + (2 – xy)dy= 0 ?

A:

Q: Integrate both sides = S sec²y dy = S dx

A: ∫sec2y dy=∫dx

Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: What is the integrating factor of the nonexact DE (4xy + 3y – x) de + æ (x + 2y) dy = 0?

A:

Q: Use Variation of Parameters to solve the DE y" – 4y %3D

A: Given differential equation y''−4y=e2xx Write the auxiliary equation m2−4=0 ⇒m2=4⇒m=±2 Hence,…

Q: Let y = sin(5x). If Aæ 0.4 at x = 0, use linear approximation to estimate Ay %3D Ay = %3D Find the…

A: delta y here represents the change in the value of y when x changes from x= 0 to x =0.4.