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Popular >

(4+x)y^'=9y

Solution

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

Popular Examples

integral of x/(\sqrt[3]{x-6)}

(\partial)/(\partial x)(y^2-4x)

\frac{\partial}{\partial x} (y^{2} - 4 x)

derivative of (x^3/(1+x^2))

\frac{d}{d x} (\frac{x ^{3}}{1 + x ^{2}})

integral of (x^2-4)/(4x)

\int \frac{x ^{2} - 4}{4 x} d x

sum from n=0 to infinity of (n+1)/(2n-3)

n = 0 \sum \infty \frac{n + 1}{2 n - 3}

Frequently Asked Questions (FAQ)

What is the solution for (4+x)y^'=9y ?
The solution for (4+x)y^'=9y is