Find the function y = = y(x) (for x > 0) which satisfies the separable differential equation dy dx 10 + 13x xy² with the initial condition y(1) = 5. Y x > 0

Q: Is (1+ex/y)dx + ex/y(1-x/y)dy = 0, a exact differential equation? If yes then, find the value of y.

A: Exact differential equation- A differential equation of the type Mdx+Ndy=0 is said to be exact if,…

Q: Form the differential equation for the function y = a sin3x -bcos3x O a. y" - 9y 0 O b. 9y" + y = 0…

A: Given differential equation is: y=asin3x-bcos3x                                                (1)…

Q: A function y=g(x) is described below by some geometric property of its graph. Write a differential…

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Q: Estimate y(0.5), given the ordinary differential equation with the initial value y(0) = 1. y'(x) =…

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Q: Determine the equation of the curve passing through the origin in the from y = f(x) which satisfies…

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Q: Solve the differential equation by linear method dy 4 -2(x+1)* dx (x +1)

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Q: of y' = x²/(y + 1)?

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Q: If 2x3+3ycos(xy)+(cx2y2+3xcos(xy))y'=0 is the exact differential equation then c =?

A: The exact differential equation is defined as the differential equation of the form Mx,ydx+Nx,ydy=0,…

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: ne differential en y(3) =

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Q: Determine the solution of the 1st Ordered Differential Equation: (x - y)(4x + y)dx + x(5x - y)dy = 0

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Q: An object attached to a spring undergoes simple harmonic motion modeled by the differential equation…

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Q: Suppose that the number x(t) (with t in months) of alliga- tors in a swamp satisfies the…

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Q: The initial concentration of phosphorous (C) in a waste water pond is 10' ppm, as against he…

A: we have dCdt+0.06C=0, C0=107 ppm we know that by Euler's method  yn+1=yn+hftn,yn where tn+1=tn+h we…