y(3x-2)dx +x (1-2 y)dy=D

Q: (x²+2x +y) dx +(3x3y-x}dy=o

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Q: dy 3. + + 2y + y² = 0,yı = -2 dx

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Q: d*y dx + 2- dx d'y d²y dx 0.

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Q: 4. y(2x2- 2x - y)dx + xy dy = 0

A: We will solve the problem

Q: dy 3. (x – 3x²y) = xy² + y %3D - dx

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Q: y (4x + y) dx – 2 (x² - y) dy 22 + x + 2 ln y = C ans.

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Q: (x-y-2)dk t3x ty-1)dy=0

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Q: (x + 2y - 4) dx -(2x +y-5) dy = 0

A: We have to solve given problem:

Q: dy_ y² + xy² 8- dx x'y-x

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Q: dy ニ 3 x +y-2

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Q: d²y dx² - dy - - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: x² x dy +y=- 3 dx 3.

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Q: y(2x²-xy+y²)dx-x²(2x-y)dy = 0, when x(1/2) = 0

A: Given: Differential equation is homogeneousPut x=vy⇒v=xyDifferentiate both…

Q: d³y 4. dx3 d?y dy -2- dx2 + 4 – 8y = 0 dx

A: The given differential equation is; d3y/dx3 -2d2y/dx2+4dy/dx-8y=0.

Q: dy y = (3x2 + x-2)-1; dx

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Q: d³y and dx ' dx2 dy d²y Find from: dx3 3. x = V1 - t and y = t³ – 3t |

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Q: dx 1. dy y 3x :-5x2 dy 2y 2. dx = -4x²

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Q: x² - 3 y : х +2 dy dx

A: Given: The function is  y=x2-3x+2   To determine: dydx of the function y=x2-3x+2

Q: dy 3. x. e*y. + y. e*y - 4x3 = 0 dx -

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Q: dy dx2 in terms of x and y. Find x2y2 - 4x = 3 dy dx2

A: Given equation :

Q: 2y (x+y+2) dx + (y²-x²-4x-1)dy = 0 when x=2, y= 3 |

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Q: d'y d²y dy dx3 -2 dx2 +9. - 18y = 0 dx

A: Given equation is d3ydx3-2d2ydx2+9dydx-18y=0Here we have a linear differential equation which…

Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: @[² (d) √x-x (x² + y²)³/2 dy dx.

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Q: (Vx² + y² -) dx + ( vx² + y² – 1) dy = 0

A: x2+y2-yxdx+yxx2+y2-1dy=0Let y be the dependent variable. Divide by…

Q: y(4x+y)dx-2(x2-y)dy = 0  when x = 1 , y= 1

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Q: (y3 - x³ )dx = xy (x dx + y dy)

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Q: 2) dx dy x²+y² 2хy ||

A: Integrating the given equation.

Q: Y(3x*2)dx + x (1-2y) dy-0

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Q: d³y d²y 3 dx3 3 – y = x²e*; y(0) = 1, y'(0) = 2, y"(0) = 3 dy dx2 dx

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Q: B dy x/1-y2 dx 1+x2 II

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Q: xydy - y^2dx = x * [(x^2 - y^2)^0.5]dx

A: First order non linear differential equation. Given differential equation is homogeneous, for…

Q: d²y dx2 + 4 + 5y = 2e-2", y(0) = 1, y' (0) = -2 dx

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Q: x/1-y2 B, dx %3D 1+x²

A: dydx=x1-y21+x2

Q: (yæ² + æ*) dy – (y³ + 2 y² a 3 3 y x²) dx = 0 - - –

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Q: 3x²y dx − (x³ + y³)dy = 0, y(1) = −2 -

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Q: (x - y) (4x + y) dx + x(5x - y) dy = 0.

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Q: y(4x+y)dx-2(x^2-y)dy=0

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Q: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Simplify the given equation to obtain the expression of dydx.…

Q: d. y(2x² -xy + y*)dx=x° (2x – y)dy =0, y(1)=

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Q: (x-y)(4x +y) dx tx (5x-y) dy = 0

A: The given homogeneous ODE is: (x-y)(4x+y)dx+x(5x-y)dy=0...(1)

Q: 2 dy 2- 2- y = e*/2y3 dx

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Q: y = (x2 - 4)2(5 - 3x). Find dy/dx when x = 3.

A: We have to find dydx at x=3 for the function: y=x2-425-3x Since two function are in product so we…

Q: (y - 2x - 9) dy = (x + 2y + 7) dx

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