Given that y(t) = c₁eft + c₂e-t is the general solution of the differential equation y" – 36y = 0, find the solution y(t) that satisfies the conditions • y(0) = 3, • lim y(t) = 0. t++∞ y(t): = help (formulas)

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A: Claim: solution for with y(0)=0. Integrating both sides we get, Take u=e-y then du=-e-y  and…

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Q: 3. Find all solutions of the DE y"-12 y'+36 y=16 te (where t is a real constant) 6 x

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Q: Consider the following equation: x?y" + 2xy' – 2y = 0; x > 0; y = y(x) (1) 1. Verify that y, (x) = x…

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Q: y'+(2x-1)y-xy2=x-1; y(0)=3, explicit solution of the form y=f(x) Also: a) Determine the value of…

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Q: ) Find the general solution of the DE y = (2+y')x+ (y')².

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