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Popular Calculus >

(4+x)y^'=8y

Solution

(4 + x) y^{^{'}} = 8 y

Solution

y = 65536 e^{c_{1}} + 131072 e^{c_{1}} x + 114688 e^{c_{1}} x^{2} + 57344 e^{c_{1}} x^{3} + 17920 e^{c_{1}} x^{4} + 3584 e^{c_{1}} x^{5} + 448 e^{c_{1}} x^{6} + 32 e^{c_{1}} x^{7} + e^{c_{1}} x^{8}

Solution steps

(4 + x) y^{'} (x) = 8 y

Solve separable ODE:

y = 65536 e^{c_{1}} + 131072 e^{c_{1}} x + 114688 e^{c_{1}} x^{2} + 57344 e^{c_{1}} x^{3} + 17920 e^{c_{1}} x^{4} + 3584 e^{c_{1}} x^{5} + 448 e^{c_{1}} x^{6} + 32 e^{c_{1}} x^{7} + e^{c_{1}} x^{8}

y = 65536 e^{c_{1}} + 131072 e^{c_{1}} x + 114688 e^{c_{1}} x^{2} + 57344 e^{c_{1}} x^{3} + 17920 e^{c_{1}} x^{4} + 3584 e^{c_{1}} x^{5} + 448 e^{c_{1}} x^{6} + 32 e^{c_{1}} x^{7} + e^{c_{1}} x^{8}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (4+x)y^'=8y ?
The solution for (4+x)y^'=8y is