dy _ x³+y³ (4) An integrating factor of dx is xy2 (a) (b)는 (0) (d) 2xy xy

Q: Dy/dy=x^2-y^2/2xy.     Y(1)=0

A: Given that: dydx=x2-y22xy and y(1)=0

Q: xy^(2)y' = x^(3) + y^(3)

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Q: Where did you get dy/dx(16x^2y + 16y^3 - 8xy) from

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Q: 을(22 + y7) %3D (25) d. da da d 을 (2) + 옮 (v?) 3D0 d dæ da a function of x and using the Chain Rule,…

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Q: xyy' = x^2 + 2y^2; y(1) = 3

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Q: a) Find the particular antiderivative that satisfies the following conditions:…

A: dxdt=8et-3x0=5

Q: dy/dx = (x-2)e^(-2y) satiafying the initial condition y(2)=ln(2) Find y as a function of x

A: Seperate the x terms and y terms to different sides and integrate on both sides.

Q: Integrate fx cos(4x) dx fa

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Q: Q1) Solve the differential euqation  dy/dx = xe^(-y) where y(1) = ln(1/2)

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Q: Find dy/dx for  A) y=43x  B) y=e7x(^3)+5 the ^3 is an exponent, sorry!

A: To determine the derivative of the function.

Q: y" + 2y' + 2y = 3te^(2t)

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Q: Write the differential equation and then determine whether you have overdamped,critically damped,or…

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is…

Q: can you show me the easiest way to solve these ode's Solve (3x^2 + y) dx + (x + 3y^2) dy = 0.  Solve…

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Q: ga)= 3(5x²-2 Vn) FIND g'k)

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Q: х (1 point) If f(x) = t' dt %3D then f' (x) = f'(-5) = %3D

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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.