Eveluet I= dx dy I+x'ダノ Cali calia い

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx

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Q: (2x dx Eva) uate the Integrad 2メ ex

A: Given, ∫2xexdx

Q: 1 dy yi+ yi = 1, when x = 0, y = 4 dx

A: y12dydx+y32=1   when x=0, y=4.

Q: 2) dx Ve -1 a) 2 vezr - 1 In (e – 1), c) arctan (e), d) sec-le

A: We need to solve the integral

Q: Latel I, Vx2 + y² dV,

A: answer is in next step

Q: dx 3/2 ca

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Q: cosh x dy + (sinh x)y = e-* dx

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Q: 1. S(7x³ + 4x²)dx e*dx 2. J itez* 1+e2x 3. S(V1 – cos x)dx

A: We will these indefinite integrals as

Q: Jay ti dx dy Compute the integration

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Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: e*dx cln 1 Calculate Jin 0.5 V1-ezx" (b)

A: We will solve this integral via substitution:

Q: *+1 dx = 0 3- xex dy +- y

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Q: EXERCISE 1 dy -dx = 0

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Q: soluti ly +y Ix

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

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Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

Q: itegral 6ze dy dx dz

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Q: (1+x° 2) 늪(cot-1 () - d dx 1-x,

A: Solution:To find:ddx cot-1 1+x1-x=?Formula:ddxcot-1x=-11+x2ddxuv=vu'-uv'v2

Q: find dy/dx

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Q: 3 4-y y dx dy = 1 2y MIN

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Q: QI Find dy for dx dt

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Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: linear a approx Imation differential's to estimate Ja6.96

A: let ,

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

Q: Erample: dy I dx if y sin !!

A: Given: The function is  y2-x2=sinxy   To determine: The implicit derivative dydx of the function…

Q: 1. S ( cos(2x-1) dx (Integration by Parts) et

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Q: QI/ Find dx 少 for Iny=ex).csch"()

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Q: A) Ln(y+1)dx+ 2у(х-1) dy = y?+1

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: sin(y) = -5x dy Also, dt 10. dx Find when y = -T. dt

A: Consider the following: Differentiating the function with respect to x on both sides, we have,

Q: sin y dy 3

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Q: IPydx dy 20.

A: To evaluate: ∫02∫13 x3y dxdy

Q: (a) Evaluate xe* dx using substitution method. (b) Evaluate | 6xe* dx using integration by part…

A: We will find out the required value.

Q: ex/Eveiluene the fallowing integrels 21/dx XInx

A: The given integrals are 1. ∫dxx1-x2. ∫dxx ln x

Q: 3. у?dx— x(2х + Зу)dy %3D -

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Q: dx

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Q: Vi-ř dy dx dz 1/2 1-x

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Q: Cos y dy 1-siny

A: The given integral is: I=∫cos2y1-sinydy   As we know that; The trigonometric identity: sin2x+cos2x=1…

Q: x +y-y° =5

A: The given equation is x2+y-y3=5 We have to find dydx=?

Q: dy BY IMPLICIT DIFFERENTIATION: 9x dx 1. FIND %3D secy

A: We have to find dydx by implicit differentiation: 9x=sec y We know the formula of differentiation,…

Q: 5. dx/dt = (4+x)(y-x), dy/dt = (10-x)(y + x)

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Q: Detevmine the com uergen e the isteguail -3% Xe dx

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Q: /hat is the value of dx at the point (1,0) if y = In(x² +y²)?

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Q: integral y sinh y dy

A: Given:

Q: dy dx 118 (x = 3x - 5

A: Topic:- differential equations

Q: Change the order of in tegration 10 10 dy dx

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Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

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Q: * Find the intergration: dy

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Q: 3. sin y(x+sin y)dx + 2x² cos ydy = 0 0: uhen v-2

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Q: ODE (Inx = = =) dy = [iny - 12 ) dx

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