solve the exact differential equation : (6x3 +4xy + y² )dx + (2x² + 2xy -3y² )dy =0 .A 2x³+2x²y+xy²+2x²y+y²x-y³=c .B 2x³+2x?y+xy²-y³=c .3 .C 3x²+2x?y+xy²+y³=c .D 2x°+2x?y+xy²-2x²y-y²x-y³=c

Q: xdy + (3xy + y - e-³x) dx = 0

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Q: y′ = 2y − 3

A: Given,

Q: Solve the Cauchy euler equation d³y x3 dx3 3x2 d?y dx2 2 + 6x -6y = 3 + Inx³ dy dx

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Q: Solve the simultaneous equations 3 dx+y=z+ e* dz dx + z = y +et

A:

Q: Solve the given equation.. (3x2 + y)dx + (x²y – x)dy =0 Y +3x = C a. b. x²y? + x²y+ x4 = C C. d.…

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Q: 5. Solve (y² + 3xy³) dx + (1 - xy)dy = 0.

A:

Q: solve the differential equation: 4xydx+ (4x² +3y)dy=0 Select one: O a. F(x,y) = 2x?y?+y³ +c O b.…

A: We have to find the function by solving the differential equation.

Q: Find the particular solution of the given D.E. (y²-2xy + 6x) dx + (2xy - x²-2) dy. =0 when X=-2 and…

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Q: Solve the given equation.. dy - 3y = x³, v(1) = 10 X dx a. y(x)= x²Inx+5x³ b. v(x)= x?Inx + 10x³ c.…

A: Please refer to the image below

Q: Solve by the method of undetermined coefficients d²y dx² dy +4. dx + 4y = (x + 1)e¯*

A:

Q: (2x – y + 1)dx + (4x – 2y + 3)dy = 0

A: Solve the differential equation by appropriate substitution and then separation of variable method…

Q: Solve (x² 1 + 2y) dx + (1 - x²) dy = 0; when x = 2, y = 1 1) (x + 1 + 2 ln x 1|) b. (x + 1) y = (x −…

A: Given: x2-1+2ydx + 1-x2dy = 0 , when x=2, y=1. Solve the given differential equation. Concept used:…

Q: dy +y =2+2x dx

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Q: x² = 2y²(y-1) y² = 2x²(x+1) x² = 2y²(y+1) y² = 2x²(x-1) dx (3x²-2-²) 4

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Q: Solve the given equation.. (e2x +y-1)dx dy = 0 a. b. y = Ce* + e²x + x y = Ce=x+1+e²x y = Cex +1+e²x…

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Q: When the constant" c" is eliminated in the relation 2y² + 2xy = cx², Which of the following is the…

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Q: (2xy − 3x²)dx + (x² + 2y)dy = 0

A: The given differential equation is

Q: аль Ихх solve и и(o,t) =и (100,t) =o 2 и(x, 0) = 60 чо осхето so<x<100

A: The given problem is to solve the given heat equation partial differential equation with given…

Q: (3 + y + 2y²sin²x)dx + (x + 2xy – ysin2x)dy a. F = y? + x? – 4xy – 6x – 2y2 + C b. F = x?y? + x² –…

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Q: Solve the given equation.. (3x?у +2ху + у?)аdx + (x2 + у?)dy %3D0 (3x?y+y)e3x = C (3x?y + y³)e3x = C…

A: Recall:  If the equation M(x,y)dx+N(x,y)dy=0 is not exact and ∂M∂y-∂N∂xN is a function of x…

Q: What is the differential of  a=3b+4b2−5b3+6b4

A: Given query is to find the differentiation of the function 'a'.

Q: Solve the given equation.. (3x² + y)dx + (x²y-x)dy=0 a. b. C. ²- +3x=C x²y²+x²y + x4 = C x² - + x =…

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Q: (6x + y?)dx + (2xy – 3y?)dy = 0

A: Image is attached with detailed solution.

Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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Q: solve for the homogeneous coefficient   (x²+2yx-4y²)dx-(x²-8xy-4y²)dy=0

A: Consider (x2+2xy-4y2)dx-(x2-8xy-4y2)dy=0⇒ (x2+2xy-4y2)dx=(x2-8xy-4y2)dy⇒dydx=x2+2xy-4y2x2-8xy-4y2To…

Q: The correlation between concentration C(t) and temperature T(t) for a chemical reaction can be…

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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.