Find a general solution of each reducible second-order differ- ential equation y" + 4y = 0

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Q: Find a general solution of each reducible second-order differ- ential equation xy" + y' = 4x

A: We have to find the general solution of the given second order differential equation.

Q: Find a general solution of each reducible second-order differ- ential equation y" + (y')² = yy'

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Q: Find a general solution of each reducible second-order differ- ential equation y" = 2y(y')3

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Q: Find a general solution of each reducible second-order differ- ential equation yy" + (y')² = 0

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Q: Find a general solution of each reducible second-order differ- ential equation y" = 2yy'

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Q: State the order of the partial differential equation uxx + uy = u + 4. Then classify whether it is…

A: The order of the highest derivative term in the equation is called the order of the PDE.

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Q: 7. Show that the integral equation R has no eigenvalues. g(x) = a √ (sin x sin 2t) g(t) dt

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Q: 4.) Evaleuate the integrali Jóxarcsin(5a)dx

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Q: Find a general solution of each reducible second-order differ- ential equation y" = (x + y')²

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Q: Find a general solution of each reducible second-order differ- ential equation y" = (y')2

A: Given, The differential equation y"=(y')2 .               ................(1)

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