Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3…

A:

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A: Consider the given differential equation:

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A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

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Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

A:

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

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Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

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Q: 3-(2x-45y)dx +(5x+33%}) Ayzo

A: A differential equation of type   P(x,y)dx+Q(x,y)dy=0   is called an exact differential equation…

Q: Solve: (3x? – 2xy+ 3y² )dx = 4xydy O (y – 3x) (y + x) = Ca³ O (y + 3x)³(y – x) = Ca³ O (y – 3x)(y +…

A: Proceed as shown below

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Q: Solve (8) 2x2y′′+3xy′−y=0,x>0.

A:

Q: 2y Solve (3x²+2) dx + (2x - 4y) dy=0 e A B 2 2y x+xe D xe ²y = 2y² = C r3+xe ³y – 2y³ = C 3y © x³ +…

A:

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

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Q: solve (x? + y) dx + (y³ + x) dy = 0. A yª + x + B + x + y + (c) = C ,3 3/7 3/4

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Q: Solve (2xy-2xy- = 0 4xy² +2x) dx + (3x2y + 4y) dy %3D

A:

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)

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