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Popular >

x^3y^'+xy=1

Solution

x^{3} y^{^{'}} + x y = 1

Solution

y = \frac{1}{x} + 1 + c_{1} e^{\frac{1}{x}}

Solution steps

x^{3} y^{'} (x) + x y = 1

Solve linear ODE:

y = \frac{1}{x} + 1 + c_{1} e^{\frac{1}{x}}

y = \frac{1}{x} + 1 + c_{1} e^{\frac{1}{x}}

Popular Examples

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

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

integral of 2e^{x/3}

\int 2 e^{\frac{x}{3}} d x

laplacetransform sin(5t)e^{(-2t)}laplace transform

sin (5 t) e^{(- 2 t)}

tangent of y=2e^x+x,(0,2)tangent of

y = 2 e^{x} + x, (0, 2)

slope of y=sqrt(6x+3)slope

y = 6 x + 3

Frequently Asked Questions (FAQ)

What is the solution for x^3y^'+xy=1 ?
The solution for x^3y^'+xy=1 is y= 1/x+1+c_{1}e^{1/x}