Find an explicit solution of the given initial-value problem. dx = = 6(x² +1), x(1) = = 1 dt x = tan 6t - 5π 4

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A: We have to the differential equation.

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A:

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Q: Find the general solutions (implicit or explicit) to the following equations. (a) y' = e3x-2y + x²…

A: First order ordinary differential equation.

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A:

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A: Given data:     The given differential equation is: y’(t)=(t+1)(y(t)2-1).     The given differential…

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A: Given differential equation is D−23D2+92y=x2e2x+xsin3x......1. We have to determine the appropriate…

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A: Solutions are:z=i(1+12k)6π​,k∈Zandz=i(5+12k)6π​,k∈ZExplanation:Step 1:Step 2: Step 3: Step 4:

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Q: Solve the following D.E: 3. 9yy' + 4x = 0

A: Given a differential equation,9yy′+4x=0 , where y′=dydxyou have to the solve above differential…

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

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Q: Solve the initial value problem. (cosx)(dy/dx)+ysinx=6xcos2x, y(pi/3)=(-4pi2/3)

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Q: Q2: Find General Solution (YGS)to the equation (Yª-1) Y=COS(2x)

A: From the given information. The given differential equation is as follows.

Q: II. Solve the following initial-value problems (IVPS): (a) dx = 4(x² +1), x (7) = 1 dt

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Q: Laboratory department detects the concentration C of impurity of an oil purifier changes with time t…

A: