∫40 ∫30 y2 - 2x dxdy

Q: my- (4x5 + 9) 3 find dy dx

A:

Q: 3) yo'ty"-2y=Dxe"* %3D

A: Given that y"'+y"-2y=xe^(-x)

Q: x² – 2x dx

A: Given integral can be written as By using the following substitution we get

Q: (d) | (V- 5)° – 2)° dx

A: Given integral:

Q: クメ- 2 dx +2x +17

A: Given that ∫033x-2x2+2x+17dxSolution : put 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bput…

Q: 312-3x| dx

A:

Q: Evaluate (x² + y²) dxdy

A:

Q: - Зх + 18 3 5X dx 9X

A:

Q: (x2-4x+8) dx

A:

Q: 4-(+3xy+y)dx-xdy=0.

A: 4 - (x2 + 3xy + y2)dx - x2dy = 0

Q: Y- XLnx dx ty=zLnx

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

Q: Evaluate A 2x35a dx

A:

Q: 1. "(x² + y²) dxdy

A: Solve intregal

Q: -1²+2x dx

A: Solution: ∫0∞e-x2+2x dx Compute the square write -x2+2x in the form : x2+2ax+a2 factor out -1…

Q: X+5 (X +5 Y- lo2) dzdY dx

A: Apply integration

Q: dx V64 - x

A: The given integral is ∫x364-x2 dx. Let t2=64-x2. This implies that  2t dt=-2x dxdx=-tx dt Substitute…

Q: 1 dx xVx² – 9

A:

Q: 2x -edy+alye -x) dx

A:

Q: Calculate. d/dx(2x5)

A: We have to calculate the following derivative: d2x5dx We know the formula of derivatives,…

Q: e-(6x+5y) dxdy

A:

Q: (9x²y - 4xy) dy dx

A:

Q: ∫xtan2x dx

A:

Q: se-2+10 dx V4e

A:

Q: أحسب قيمة التكامل التالية - x3| x| dxثم أختر الأجابة الصحيحة ؟

A: Please see the explanation below

Q: メク-2x dx メナをメ

A: ∫x3-2xx3+xdx

Q: 21x? x³ - - dx x² - 12x

A:

Q: Sove dy/dx = 14xy -2x y(0) = 12

A: Given ,dydx=14xy-2x , y0=12we have to solve the differential equation…

Q: sv x² + 2x dx

A:

Q: EDO dy/dx = x2 /1+y2

A:

Q: dy (4xy + dx (2x2

A: Given differential equation is: dydx+4xy+1x2x2-1=0 The above equation can be re-written as follows:…

Q: Ге-). 1 5x dx х Je

A: Given,

Q: t0x² -4x²+8d 4 2- 多 et dx

A: 2. ∫10x4-9x2+8x2dx3. ∫ex2+xxdx4. ∫dxx

Q: ex dx /1 - e2x

A:

Q: Evaluate: ³₂(4x²y - 2³) dz dy dx

A:

Q: xlnx-x dx. (Inx)3

A: We have to find the integral

Q: xVx? + y dy dx

A:

Q: (1-2x? - 2у) dy - 4x 4x? +4хy dx

A: we have 1-2x2-2ydydx=4x3+4xy1-2x2-2ydy=4x3+4xydx1-2x2-2ydy-4x3+4xydx=0 compare the equation with…

Q: 1. (4xy? – 6y³)dx + (x³ – 8x?y + 9xy²)dy : |

A: Substitute x=yv

Q: dy + 3x?y = 6x2 dx

A: A first-order differential equation is considered as separable if for the differential equation,…

Q: 4. ( (4x – 3x? + 2.x) dx -

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Q: Cosun) dx (x4+sx²+4)

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Q: d'y -3x dx?

A:

Q: y =xV3– 2x= dx?

A: Topic = Derivative

Q: x² + 2x dx

A:

Q: Evaluate. 6e-2x dx= 0.

A: Given, ∫066e-2xdx  We have the formula ∫eax dx = eaxa

Q: -7Y= ニ。 dx

A:

Q: Evaluate xe"dx. 2x

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.