2 V4-x2 e*²+y* dydx =? -2 0

Q: 3. f 3/2 y dydx (I wz dx dy dz. 4.

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Q: SOLVE USING INTEGRATING FACTOR (2y² – 3x²) d x + (2x² – x y) dy = 0; y (1) = 1 9.

A: Let's find.

Q: Find the solution of (x-2)dy = (3x² - 6x - y)dx given y(0) = 4.

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Q: 4. Homogeneous: Solve the equations (x – y) dx + (3x + y) dy = 0; when x = 3, y = -2

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Q: 1 5earctan(y) dy -1//3 1+ y2 3 1+ у2

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Q: 2t -4 0st<2 D2-1)y= t22 y(0)=0, y'(O)=1 Find L{y}

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Q: dy りー! り(-)ニ。 x+3 2, xy' =1+X ら(4)=0

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Q: an expiicit solu 'V1-y dx - V1- x² dy = 0; y(0): O 4+3/5 8 O 4-3/5 8 O 4-/5 O 4+ /5 2.

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Q: Solve Separable (x – 4)y*dx – x³ (y² – 3)dy = 0 -

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Q: (1) (zy+y)dr-(r'} +x² +y° +1)dy= 0 2.2

A:

Q: dy 8. V1+ V1+x 1

A: From the given problem: I=∫-18dx1+1+x   ...1 Let, u=1+xSo,dudx=ddx1+xdudx=0+1du=dxFor the…

Q: ) ور شم( موم 2 4-x 2 2 4-x 2 x++y¯+z° e - dz dy dx -2

A: To evaluate the below integral. ∫−22∫04−x2∫04−x2−y2e−x2+y2+z23/2dz dy dx

Q: dy * + 2(t + 1)y² = 0, _y(0) = - ip 1/8

A:

Q: 1 [ (2 -y - VE) dy 2 – y – 0. 1 | (2-y (2 – y – V9) dy 0, 2 | (x² – (2 – æ)) dæ - 2 [ (2² – (2 – a))…

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Q: 10. (x2+y)+(x+ey)dydx=0

A: We have given the equation;

Q: 6. (2z – 1)(y – 1)dr + (x+ 2)(x – 3)dy = 0, y(1) = -1

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Q: Find the solution of (x² – xy – y²) dx + xydy = 0 -- -

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Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

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Q: 2x Aegl ää Jas y(0.1) d y(0)=1 , h=0.05 y' = y - y

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Q: 1. y' = e-" (2x – 4) y(5) = 0 2. dy = by°r y (1) = dz 1 25

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Q: 7. Solve: dy x + 3y d.x 3x + Y

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Q: Solve (x +3y- 4) dx + (z +4y - 5) dy = 0 (x+4y-5) dy= 0

A: We need to solve the following differential equation (x + 3y - 4) dx + (x + 4y - 5) dy =

Q: V16-x² .4 Evaluate: [4 16-x² J/x²+y² dz dy dx

A: We will evaluate the following Integral.

Q: dy=y°-1 ex 2y

A: This is Separable differential equations

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: 4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

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Q: 1. . 2 y² +4 - dy y

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Q: d²y (x) dx² 6 dy (x) + By(x) = xe ²x xẻ dx / general solution ?

A: We have to find the solution of differential equation

Q: V1-x² 1-x²-y² e-3(x²+y²+z²)² dz dydx a) Evaluate

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Q: Evaluate: -2 rz² LLL "3yz² dx dy dz •y+z

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Q: 12-y² y !! dz dx dy 2. 0 0

A: triple intregal

Q: ๆ ³₁₂₁ (4x²y — z³) dz dy dx -2 J1

A:

Q: Find dydx for…

A: the given equation of the curve is: y3+y2-5y-x2+4=0 we have to find the value of dydx

Q: Solve 2(ax+Y) dx + (3x +Y) dy =0 ,y) =2

A: SOLUTION-

Q: (x- 2y + 4)dx+ (2x – y + 2)dy = 0 %3D

A:

Q: 2. (D2 + 3D)y = -18x: v = 0. Dy = 5 when x = 0

A: Given differential equation is  D2+3Dy=-18x  and the given conditions are y=0, Dy=5 when x=0 find…

Q: 14-2x 1. ! ] dydx 0 2 2. dxdy 0 y 11-r 3. dycx o 1-x 4. [[ dydx 0 0

A: Answer 1: changing dy dx to dx dy; limits of integration: 0 ≤ x ≤  [2 - (y/2)] 2 ≤ y ≤ 4

Q: solve for      xydy + 2(x^2 +2y^2)dy = 0 when x=0 and y=1

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Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

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Q: 26. x = 2y, y(1) = 5 dy

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Q: Evaluate В: А: 3e-422 dz Jye-y dy 0, 0,

A: In the question it is asked to calculate the integral of two functions given below: ∫0∞ye-y3dy…

Q: particular solution of y(x+y)dx + (x+2y-1) dy= 0 ; y(0) =2 NEDE is

A: Given differential equation is not exact , first make them exact and then solved them.I have given…

Q: Evaluate the following integrals

A: The given integrals are,

Q: 3 2 | z=1 y=1 -2(x + 1)y dy dz بائية

A:

Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

A:

Q: 31-x 2. Evaluate [(x+ y)dydx . 1 0

A: To solve this question first we integrate w.rt dy then put limits and after this integrate with dx…