Solve by Exact method ydx- (2xy +y ²)dy so

Q: Solve (2x – –10y°) +y=0

A: Given the differential equation          2x-10y3dydx+y=0

Q: x³ dx 9+x* 1.

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Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: Solve the given DE: 2ydx=3xdy, when x-2, y=1. O y=(x/2)^(2/3) O y=(x/2)^(1/3) O y=(x/3)^(2/3) O…

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Q: 1. Find 2(3z + 4)² dz.

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Q: solve using non-exact (x+4y3)dy - ydx = 0

A: Solving the non exact differential equation

Q: Solve: (xy – 1) dx + (x² - xy) dy = 0 %D |

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Q: Solve the equation x*ydx +(y-x² )dy = 0.

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Q: Solve (5x + 9y) dx + (9x+ 5y) dy

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Q: Find a real root of the equationx' +x - 1 =0 by iteration method.

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Q: Solve Ja-yi ) dy

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Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

A: The given integral is A2∫-aaa4-2a2x2+x4dx=1. We have to find the value of a.

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: dy dx 2xy + 6x + (x²-4)-

A: Solution of given question is written in below steps.

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve for X if (x)=z=r

A: The given expression xy-z=rw. We have to solve the expression for x.

Q: dx 43. Evalua Jx +2)(x² +4x + 10) te

A: To simplify this integral, we use partial fraction decomposition. Thus,…

Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: dx 4. / TV²+ 4x – 4 4х — 4

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Q: Solve y′′+ 9y = 3sin(3t)

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Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: ³+1 2x²5x 3 S dz.

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Q: Solve (8) 2x2y′′+3xy′−y=0,x>0.

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Q: x²dx 3 2 3 (5-x') 2.

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Q: Solve 4²4 cx2 - 01 dy 4x + 64 = e + 4 sinh3x.

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)

Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

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