x sin x dx = log y dy %3D

Q: Solve d 4me-m2 dy dm

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Q: Solve each problem with complete and neat solution dy 1. dx +y = e2x 2. (x + 3y)dx – xdy = 0

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Q: SOLVE USING BERNOULLI'S EQUATION dy/dx=y-x(y^3)(e^(-2x))

A: Differntial equation

Q: Identify the type of the equation dy dx and solve it.

A: Solution

Q: dy O. Solve for dx a²y³ = 2x

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Q: hp (fh. Solve yda = (x - Vay) dy %3D

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Q: e dx -5

A: Width of the interval [-5,5]= 5-(-5)=5+5=10n=number of subintervals. Width of each…

Q: Solve the D.E (x+y?+x) dx

A: To solve this question first we check given differential equation is exact or not.Here given…

Q: Solve the exact equation: (2x + ye" )dx +(1+ xe" ) dy = 0. ху l+xe°

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Q: Solve the following equation. ln y = 3

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Q: x(2y – 3)dx + (x2 + 1)dy = 0

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Q: Solve the following D·E 4) dx + xdy = x²e° dy

A: First divide dy both sides.

Q: Q4) Solve the D.E y+2x* dx ya

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Q: dy, y Q:Solve: +² log y = (logy)° . dx X

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Q: e dx + (2y + xe") dy = 0

A: Given ey dx+2y+xey dy=0 Here M=ey and N=2y+xey ∂M∂y=ey  , ∂N∂x=ey Therefore,   ∂M∂y=∂N∂x is exact…

Q: Test the equation for exactness and solve the equation (2xy − 3x^2)dx + (x^2 + 2y)dy

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Q: x2 +1 3. xe dy + dx = 0

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Q: dx. 3. Gッ)J

A: Given that  In=∫1eln1xndx,n≥0

Q: dy +ycotx-cosec x. dx Solve

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Q: dy 10. y-x dx dx

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Q: x (х+1) dw solve for dx W 2х-1

A: The Quotient rule: fg'=f'·g-g'·fg2 The product rule: f·g'=f'·g+f·g' Given: w=xx+12x-1

Q: j. 1 dx = TT log,2 Vex - 1 Solve the equation

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Q: Solve the diffrencial equation.  4x3 y4 - Lny+(y/x)/-4x4 y3 + (x/y)-Lnx = dy/dx

A: Mdx + Ndy =0if ∂M∂y =∂N∂xIt's exact diffrential equation and then solution :∫y constMdx + ∫(terms of…

Q: dy Solve the equation x = x2 + 3y dx

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Q: dx. (1+e*)? Find

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Q: xdy -ydx =(xy)^1/2 dx

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Q: Part I Solve for the general solution of the following equations: (x* +3y)dx – xdy = 0 а.

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Q: Solve the equation J =dx = ! - 1

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Q: | (1+2x) e#dx

A: If the limit exists and is a finite number, we say the improper integral converges . If the limit is…

Q: 56. dx x In x

A: Given improper integral ∫2∞1xlnxdx   ∫1∞1xpdx  is convergent if p>1  and divergent p≤1

Q: Solve the following D·E 3) +y = y3 dx

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Q: d.Solve equation (31), obtaining v implicitly in terms of x. x( dv/ dx) =( v^ 2 − 4)/( 1 − v) .

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Q: Derive a formula for the equation below: хп In x dx Where a.) n =-1 b.) n + -1

A: We use  the substitution method and integral by parts for each of the cases given. Note that…

Q: dx 2x x2

A: Let I=∫1-12xdxx2

Q: Q.3 Solve (e* + 1)ydy = (y + 1)e*dx.

A: This is separable differential equation

Q: Find a value for the constant A so that: 4(3x + 5)' dx : (3х + 5)" + C A

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Q: Solve the equation xy^3 dx + e^(x^2) dy = 0.

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Q: Solve the derrivative and enclose the final answer. xdy - { y + xy3 (1 + ln x) } dx = 0

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Q: 1) 1+e" |dx+e" (1- xydy =0

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Q: Find the general solution of the following equations= (x10/3 – 2y)dx + xdy = 0 1-

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Q: dx 2. when X=4 y =1

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Q: Solve the equation. dx = 8xt* dt

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Q: Solve the equation. (3xy)dx + (y- 3x®)dy = 0 -

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Q: Solve the given dy=x√ e+~

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Q: Solve the equation dy /dx = k y

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Q: solve xe dy + ) de

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Q: Solve the following differenti- d'y 3. +2y=e"; dx dx

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Q: a dx a+x e

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Q: Find the general solution of nx dx = (x + 1)² ylnx

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