The general solution to the differential equation y"+10y'+(e²x-7)y=0 1 y=f(x)(C₁ Ja (g(x)) + C₂ Ya (g(x))). Write this form of the general solution using the correct value for the constant a and the correct functions of x represented by f(x) and g(x). has the form y= a = f(x) = and g(x) = Hints: Try using a new independent variable z=ex and a new dependent variable w=e¹0x/2 y.

Q: (a) 2xy? + x²y' = y², y(1) = = -1 (а) Зу(2? — 1) + (»3 + 8y — За) dy (b) 4x?3 dy гу* + 2 dæ (e) xy'…

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A: The given differential equation is; u''(x) + 6u'(x) + 5 u( x) = 10x + 2

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