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Popular Calculus >

(2+x)y^'=9y

Solution

(2 + x) y^{^{'}} = 9 y

Solution

y = 512 e^{c_{1}} + 2304 e^{c_{1}} x + 4608 e^{c_{1}} x^{2} + 5376 e^{c_{1}} x^{3} + 4032 e^{c_{1}} x^{4} + 2016 e^{c_{1}} x^{5} + 672 e^{c_{1}} x^{6} + 144 e^{c_{1}} x^{7} + 18 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

Solution steps

(2 + x) y^{'} (x) = 9 y

Solve separable ODE:

y = 512 e^{c_{1}} + 2304 e^{c_{1}} x + 4608 e^{c_{1}} x^{2} + 5376 e^{c_{1}} x^{3} + 4032 e^{c_{1}} x^{4} + 2016 e^{c_{1}} x^{5} + 672 e^{c_{1}} x^{6} + 144 e^{c_{1}} x^{7} + 18 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

y = 512 e^{c_{1}} + 2304 e^{c_{1}} x + 4608 e^{c_{1}} x^{2} + 5376 e^{c_{1}} x^{3} + 4032 e^{c_{1}} x^{4} + 2016 e^{c_{1}} x^{5} + 672 e^{c_{1}} x^{6} + 144 e^{c_{1}} x^{7} + 18 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (2+x)y^'=9y ?
The solution for (2+x)y^'=9y is