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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

x^2(dy)/(dx)+y^2=xy

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

integral of cot^2(x)csc(x)

\int cot^{2} (x) csc (x) d x

(\partial)/(\partial x)(-e^{2y}cos(2x)*2)

\frac{\partial}{\partial x} (- e^{2 y} cos (2 x) \cdot 2)

area y=x^4-x^2,y^2=x^2 area

y = x^{4} - x^{2}, y^{2} = x^{2}

y^{''}-2y^'+53/4 y=0

y^{^{''}} - 2 y^{^{'}} + \frac{53}{4} y = 0

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