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Popular >

(dy)/(dx)=-2y+5

Solution

\frac{d y}{d x} = - 2 y + 5

Solution

y = \frac{e ^{- 2 x - c_{1}}}{2} + \frac{5}{2}

Solution steps

\frac{d y}{d x} = - 2 y + 5

Solve separable ODE:

y = \frac{e ^{- 2 x - c_{1}}}{2} + \frac{5}{2}

y = \frac{e ^{- 2 x - c_{1}}}{2} + \frac{5}{2}

Graph

Popular Examples

x^3(dy)/(dx)=y^2(x-3)

x^{3} \frac{d y}{d x} = y^{2} (x - 3)

(dy)/(dx)-x/y =0

\frac{d y}{d x} - \frac{x}{y} = 0

(t^3+7t^3x^2)dt+xe^{t^4}dx=0,x(0)=0

(t^{3} + 7 t^{3} x^{2}) d t + x e^{t^{4}} d x = 0, x (0) = 0

y^'=3(y-1)^{2/3}

y^{^{'}} = 3 (y - 1)^{\frac{2}{3}}

y^'+1/2 (x-2)y^2=0

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

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=-2y+5 ?
The solution for (dy)/(dx)=-2y+5 is y=(e^{-2x-c_{1}})/2+5/2