a. Can y, = 3 – t2 and y2 = 4t3 be both the solutions to a differential equation y" + p(t)y' + q(t)y = 0 , if p(t) and q(t) are continuous on (-5,0) ? Explain why.

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Q: Q3/ Find the IVP for the differential equation. x²y" - 3xy² + 68y=0, that satisfies the -зху!…

A: Follow the procedure given below.

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Q: 1. Given that y satisfies the differential equation ,dy +22+y 0, use the approxinmations dx Yas -2y,…

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Q: Verify that the indicated function y = Q(x) is an explicit solution of the given first-order…

A: Solution : when y=125-x2y'=-125-x22×-2xy'=2x25-x22y'=2xy2thus in terms of x,2xy2=dydx

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A: Answer

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Q: A differential equation is: d2y/dt2=Ay2+Byt where y represents a distance and 1 is time. Determine…

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Q: Q.4 Consider the differential equation (2y-2)=2x-1.

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A: topic - differential equations

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A: Given, The differentiating equation  x2+2y2dxdy=xy   and  y-1=1 We have to show the coefficient of…

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Q: Find the particular solution of the following second order differential equation d² y dy dx² --4-…

A: The given differential equation is :d2ydx2-4dydx-21y=-105x-209given that y0=11 ; y'0=39.

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Q: A differential equation is: d2y/dt2=Ay2+Byt where y represents a distance and t is time. Determine…

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Q: ) Prove that: (y -c} = C x is the solution of the differential equation dy dy 4x 2x dx 0= dx Then…

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Q: Verify that the indicated relation is an implicit solution of the given first order differential…

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