Solution of+=e* using integrating factor is dy dx y= xe* + et y=xe*-e* −c x X Option 1 O

Q: t(dx/dt)=6te^(2t)+x(2t-1) solve using linear equation

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Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: 14) fx In(4x) dx

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Q: 3. (y-x)dx = xy (x dx + y dy)

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Q: dy _(2x — у +1)? 2х — у %3D dx

A: We have to solve the differential equation dydx=2x-y+122x-y. The independent variable in this…

Q: Integrate 1. S the following: (x²-3x²) dx (x4-4x3+2)3 3 √x-2 z² 2 2. S dx 3. S dz 4 √73-2 3.

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Q: Integrate Jo tan h x dx

A: Use substitution method for integrate

Q: Solve the flrst order diflerential equation:…

A: Given differential equation is…

Q: 2- Solution of the following function {(dy/dx)-(cotx) y=(csc x)y³ }

A: The differential equation is given as dydx-(cot x)y = (csc x)y31y3dydx-1y2cot x = csc x…

Q: FIND THE GENERAL SOLUTION ye^2x dx = (4+e^2x)dy

A: Let's find.

Q: S2(x* +1)e** dx . -5x t³ -9 -dt . 2t +3

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Q: use the Lagrangian method to solve: U=x1^(1/2)x2^(1/2) subject to 50=5x1+10x2

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Q: Evaluate dy/dx @ the given point y^5-4=x^5-2y  @ (-1,1)

A: The given equation is  y5 - 4 = x5 - 2y We know that (d/dx) xn = nxn-1

Q: x dy/dx + 5y = 2x^2y^4

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Q: 3X ジ+ 5y+4 -2X -3e+キe मै -29 +8 ジ x ーズ %3D 12)

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Q: General solution

A: We have to find the general solution of given differential equation.

Q: how to variable seperable xdv/dc = -(v+1)^2 / 3+ v

A: We have to solve the following differential equation using variable separable method. xdvdx =…

Q: Find an integrating factor as a function of z = x ^ 2 + y ^ 2 for the following equation and then…

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Q: Differentiate. y = In (4x² − 9x + 1)

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Q: Evaluate * (1 – x²)3/2° 1 + c 3 1-x2 -1 + c /1 – x² O Option 4 Option 2 2 1 1 + c /1 – x² :+c 3 V1-…

A: ∫ xdx/(1-x2)3/2 here assume that  1-x2 = u -2x = du/dx xdx = -du/2 ∫ -du/2u3/2 ∫ -u-3/2du/2 2u-1/2/2…

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0