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Popular >

x*(dy)/(dx)+y=4x+1

Solution

x \cdot \frac{d y}{d x} + y = 4 x + 1

Solution

y = 2 x + 1 + \frac{c _{1}}{x}

Solution steps

x \cdot \frac{d y}{d x} + y = 4 x + 1

Solve linear ODE:

y = 2 x + 1 + \frac{c _{1}}{x}

y = 2 x + 1 + \frac{c _{1}}{x}

Popular Examples

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\frac{\partial}{\partial x} (y arctan (\frac{x}{y}))

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\frac{d}{d x} (\frac{x ^{2}}{2 ^{x}})

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\int \frac{1}{x ^{2}} - 1 d x

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(2 x^{2} - 4 x + 4) e^{x}

taylor cos(x),1 taylor

cos (x), 1

Frequently Asked Questions (FAQ)

What is the solution for x*(dy)/(dx)+y=4x+1 ?
The solution for x*(dy)/(dx)+y=4x+1 is y=2x+1+(c_{1})/x