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Popular >

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

Solution

\frac{d y}{d x} = 2 y + 1

Solution

y = \frac{e ^{2 x + c_{1}}}{2} - \frac{1}{2}

Solution steps

\frac{d y}{d x} = 2 y + 1

Solve separable ODE:

y = \frac{e ^{2 x + c_{1}}}{2} - \frac{1}{2}

y = \frac{e ^{2 x + c_{1}}}{2} - \frac{1}{2}

Popular Examples

sum from n=0 to infinity of 2/(1.15^n)

n = 0 \sum \infty \frac{2}{1.1 5 ^{n}}

y^{''}+25y=-30sec(5t)

y^{^{''}} + 25 y = - 30 sec (5 t)

derivative of (3x^2-6/(2x+3))

\frac{d}{d x} (\frac{3 x ^{2} - 6}{2 x + 3})

derivative of e^x*cos(2x)

\frac{d}{d x} (e^{x} \cdot cos (2 x))

derivative of tan(xsin(x))

\frac{d}{d x} (tan (x) sin (x))

Frequently Asked Questions (FAQ)

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