Solve the following differential equations a) y(x-y)dx + x²dy = 0

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation"…

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Q: 1 (D² + 2D + 1)y = (ex=1)²

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Q: ) 2 xýt 2xy - Sinh (32)

A: As per the guidelines I am answering only one question at a time. A differential equation of the…

Q: Solve the exact differential equation: (2x+1+2xy) dx + (x2 +  4y3) dy = 0

A: (2x+1+2xy ) dx + (x2 + 4y3) dy = 0  on comparing with   Mdx + Ndy  , we get ,       M =…

Q: Prove that if a, b e R, then (a) -(a+b) = (-a) + (-b), (b) (-a)·(-b) = a · b,

A: (a) Proof of the fact -(a+b)=(-a)+(-b): Since -1 is additive inverse of 1, hence  −1+1=0   (zero in…

Q: Solve the following differential equation: 2 (y+3)dx - xydy = 0

A: If a differential equation can be written as f(x)dx=g(y)dy , then it is known as differential…

Q: 2. [x+y + 1) dx + (2x + 2y - 3) dy = 0, y (8)= -4

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Q: d°y d5y 12 d*y + 86 dx+ 300 d³y + 625 dx² d²y = 0 dx6 dx5 dx³

A: Given linear differential equation with constant coefficient . The solution is

Q: QI- Finid the soluion of the following differential equation d?y dy +2 +y 0 dx2 dx. 4x-

A: Given: 4xd2ydx2+2dydx+y=0

Q: 2. Solve the differential equation y" + 3y csc V3x

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Q: solve the differential equation (y-x2 )dx + (x2 coty-x)dy=0

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Q: Solve for the solution of homogenous differential equation dy da a²+y? 3ry

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Q: the following diffe

A: Here we have to solve the differential equation:- dydx+x-2y2x-y=0

Q: he differential equation using Bernoulli equation x dy/dx + 6y = 3xy4/3

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Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y +1)dy = 0

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Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y + 1)dy = 0

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Q: Q/6 Solve the differential equation: y2 d = 3x?y3 – 6x? %3D

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