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Popular Calculus >

(4+x)(dy)/(dx)=9y

Solution

(4 + x) \frac{d y}{d x} = 9 y

Solution

y = 262144 e^{c_{1}} + 589824 e^{c_{1}} x + 589824 e^{c_{1}} x^{2} + 344064 e^{c_{1}} x^{3} + 129024 e^{c_{1}} x^{4} + 32256 e^{c_{1}} x^{5} + 5376 e^{c_{1}} x^{6} + 576 e^{c_{1}} x^{7} + 36 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

Solution steps

(4 + x) \frac{d y}{d x} = 9 y

Solve separable ODE:

y = 262144 e^{c_{1}} + 589824 e^{c_{1}} x + 589824 e^{c_{1}} x^{2} + 344064 e^{c_{1}} x^{3} + 129024 e^{c_{1}} x^{4} + 32256 e^{c_{1}} x^{5} + 5376 e^{c_{1}} x^{6} + 576 e^{c_{1}} x^{7} + 36 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

y = 262144 e^{c_{1}} + 589824 e^{c_{1}} x + 589824 e^{c_{1}} x^{2} + 344064 e^{c_{1}} x^{3} + 129024 e^{c_{1}} x^{4} + 32256 e^{c_{1}} x^{5} + 5376 e^{c_{1}} x^{6} + 576 e^{c_{1}} x^{7} + 36 e^{c_{1}} x^{8} + e^{c_{1}} x^{9}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (4+x)(dy)/(dx)=9y ?
The solution for (4+x)(dy)/(dx)=9y is