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Popular >

y^'+3/x y= 1/x

Solution

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

Solution

y = \frac{c _{1}}{3 x ^{3}} + \frac{1}{3}

Solution steps

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

Solve separable ODE:

y = \frac{c _{1}}{3 x ^{3}} + \frac{1}{3}

y = \frac{c _{1}}{3 x ^{3}} + \frac{1}{3}

Popular Examples

8ty+e^ty^'= y/(t^2+64)

8 t y + e^{t} y^{^{'}} = \frac{y}{t ^{2} + 64}

yy^'-4y^'-5y=125

y y^{^{'}} - 4 y^{^{'}} - 5 y = 125

(x+1)(x-2)(dy)/(dx)+y=0

(x + 1) (x - 2) \frac{d y}{d x} + y = 0

3(16+y^2)dx+2xydy=0

3 (16 + y^{2}) d x + 2 x y d y = 0

u^'-r\H(t)+ru(t)^2 1/k =0

u^{^{'}} - r H (t) + r u (t)^{2} \frac{1}{k} = 0

Frequently Asked Questions (FAQ)

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