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Popular >

(6+x)y^'=9y

Solution

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

Solution

y = 10077696 e^{c_{1}} + 15116544 e^{c_{1}} x + 10077696 e^{c_{1}} x^{2} + 3919104 e^{c_{1}} x^{3} + 979776 e^{c_{1}} x^{4} + 163296 e^{c_{1}} x^{5} + 18144 e^{c_{1}} x^{6} + 1296 e^{c_{1}} x^{7} + 54 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

Solution steps

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

Solve separable ODE:

y = 10077696 e^{c_{1}} + 15116544 e^{c_{1}} x + 10077696 e^{c_{1}} x^{2} + 3919104 e^{c_{1}} x^{3} + 979776 e^{c_{1}} x^{4} + 163296 e^{c_{1}} x^{5} + 18144 e^{c_{1}} x^{6} + 1296 e^{c_{1}} x^{7} + 54 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

y = 10077696 e^{c_{1}} + 15116544 e^{c_{1}} x + 10077696 e^{c_{1}} x^{2} + 3919104 e^{c_{1}} x^{3} + 979776 e^{c_{1}} x^{4} + 163296 e^{c_{1}} x^{5} + 18144 e^{c_{1}} x^{6} + 1296 e^{c_{1}} x^{7} + 54 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

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(dy)/(dt)=2(t+1)y

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\int_{- 1}^{3} 1 + (2 y + 2)^{2} d y

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Frequently Asked Questions (FAQ)

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