Solve the initial value problem. ds dt I cost- sint, s = 3 2

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Q: 10. DETAILS ZILLDIFFEQMODAP11 4.1.027.MI.SA. MY NOTES Tutorial Exercise Consider the differential…

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A: The given differential equation is; y''+y'-42y=0, y(0)=alpha, y'(0)=14.

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Q: Your answer is correct. Find a differential equation whose general solution is = = C₁e⁹t + c₂e-³t.

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}…

A: Given function f(t)=(et-e-t)2  f(t)=e2t+e-2t-2×et×e-tf(t)=e2t+e-2t-2   Formula L(eat)=1s-aL(c)=cs

Q: Find div F if F(x, y, z) = (x² + y)i + z²j + (eY - z) k.

A: Our Aim is to find the value of div F if F(x,y,z)=x2+y i +z2 j+ey-zk -(i)Let  F(x,y,z)=x2+y i +z2…

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A: To find the solution of the given initial value problem.y'''+y'=sect, y0=9, y'0=3, y''0=-2

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