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Popular >

xy^'+y=cos(x)

Solution

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

Solution

y = \frac{sin ( x )}{x} + \frac{c _{1}}{x}

Solution steps

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

Solve linear ODE:

y = \frac{sin ( x )}{x} + \frac{c _{1}}{x}

y = \frac{sin ( x )}{x} + \frac{c _{1}}{x}

Popular Examples

integral of (4x 5/4-2x 1/4)/(x 1/4)

\int \frac{4 x \frac{5}{4} - 2 x \frac{1}{4}}{x \frac{1}{4}} d x

integral from 0 to pi/2 of (3cos^2(x))

\int_{0}^{\frac{π}{2}} (3 cos^{2} (x)) d x

inverse oflaplace 6/s+8a*1/(s^2+16)inverse laplace

\frac{6}{s} + 8 a \cdot \frac{1}{s ^{2} + 16}

(1/(cos^2(x)))^'

(\frac{1}{cos ^{2} ( x )})^{^{'}}

integral of 3sec^2(x)

\int 3 sec^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'+y=cos(x) ?
The solution for xy^'+y=cos(x) is y=(sin(x))/x+(c_{1})/x