Check all of the equations below that are exact differential equations. y + 2yx y = 0 2xy + 2xy? y = 0 O e-* sin(y) e- cos(y)y = 0 - e

Q: Identify the type of the equation dy y? - dx and solve it.

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Q: A. Verify if the given equation is a solution of the given differential equation: (Show your…

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Q: Solve the differential equation. dy y + 1 dx O In |x| – ? () = tan - ex - x + tan-'(x) = C In |x| –…

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Q: Solve the differential equation y + (tanx) y=cosx ? Ay=xsinx+Csinx By=xsinx+Ccos.x Ⓒy=sinx+Ccos.x D…

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Q: 2. Obtain the Differential Equation from the given general solution. y = Cj cos(3x) + C2 sin(3x) +…

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Q: Q1. Solve the following dy (a). y² + xy³ + (5y² – xy+ y³ sin y) = 0. dx

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Q: Solve the differential equation, 2ydy = (3y? cot r +sin rcosr) da sin z- sin 3* y² = C %3D csc z csc…

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Q: Find the the general solution of the differential equation (D² + 25)y= csc x sinæ + sin 5x cos 3x…

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Q: The roots of the characteristic equation of a linear second-order differential equation are -3…

A: Given that, The roots of the characteristics equation of linear second order differential equation…

Q: 1. (cos 2y-3x²y²) dx + (cos 2y - 2x sin 2y - 2x³y)dy = 0 - 2. [x√x² + y² − y]dx+ (y√x² + y² − x)dy =…

A: cos2y-3x2y2dx+cos2y-2xsin2y-2x3ydx The differential equation is of the form Mdx+Ndy=0 We know the…

Q: y' – 3y + 2y = cos(e*)

A: Given: y" -3y' +2y= cos(e-x) Solution:

Q: y. Z. x dy = (y + x² sin x) dx xỹ -y √x² + y² H please solve all Ordinary differential equation

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Q: Determine the solution of the differential equation dy y cot x = cosx dæ

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Q: 2yy" = 1 + (y')² 2

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Q: y = G, cos 3x – C, sin(-3x)

A: The general solution of a differential equation is y = c1cos(3x) - c2sin(-3x) We need to find the…

Q: 1. (y+√xy)dx + xdy = 0

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Q: The complementary function (C.F.) of the differential equation:(D² +3?)y=cos lz s. O ge* + cz sin 3z…

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Q: Solve the following differential equation with Bernoulli differential equation…

A: (-x2-y2-x)dx+(-xy)dy=0 Above ODE can be written as  dydx=(-x2-y2-x)(xy)y'=(-x2-y2-x)(xy)

Q: degree dy 6. dx = cos X d²y' dx2 2 (dx + 2b + y = 0 7. y" + (2y')2-y = 4x 8. 9. yy" + 2x3 = 0 10. y'…

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Q: 4 dz = (4x²y + x²)dx + (²x³ — y²)dy = 0

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Q: Solve the following differential equations of · yy'+ y´ = x; Linear Differential Equation

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Q: y' – 2y + y = 7e* + 75 sin(2æ)

A: Differential equations

Q: You are given the following differential equation:  d2y/dx2 + 5 (dy/dx) + 6y = 10 cos x  what is…

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Q: .) 2xy dx + (x²-₁) dy = =0 4.) (x² + y2) dx + (x²-xx) dy

A: Separable of Variables: Let a differential equation can be written in the form:…

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.