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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of-(18/(x^3)+3/(x^2))

\frac{d}{d x} (- \frac{18}{x ^{3}} + \frac{3}{x ^{2}})

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9 (t + 1) y^{^{'}} - 7 y = 14 t

2y+sin(2t)=(dy)/(dt)

2 y + sin (2 t) = \frac{d y}{d t}

(dy)/(dx)+ycos(x)=4cos(x)

\frac{d y}{d x} + y cos (x) = 4 cos (x)

(\partial)/(\partial x)(x+z)

\frac{\partial}{\partial x} (x + z)

Frequently Asked Questions (FAQ)

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