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Popular >

(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}

Popular Examples

integral of (x^2-7x+2)

\int (x^{2} - 7 x + 2) d x

tangent of y=e^{5x},\at x= 1/5 ln(5)tangent of

y = e^{5 x}, at x = \frac{1}{5} ln (5)

integral of 5sin^3(xco)s^7x

\int 5 sin^{3} (x co) s^{7} x d x

derivative of arccsc(4x^2+1)

\frac{d}{d x} (arccsc (4 x^{2} + 1))

integral of (5x^4+x/7)

\int (5 x^{4} + \frac{x}{7}) d x

Frequently Asked Questions (FAQ)

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