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Popular >

(dx)/(dt)=x-k

Solution

\frac{d x}{d t} = x - k

Solution

x = e^{t + c_{1}} + k

Solution steps

\frac{d x}{d t} = x - k

Solve separable ODE:

x = e^{t + c_{1}} + k

x = e^{t + c_{1}} + k

Popular Examples

y^'=e^{5y+8x},y(0)=6

y^{^{'}} = e^{5 y + 8 x}, y (0) = 6

y^'=0.3y,y(0)=2.1

y^{^{'}} = 0.3 y, y (0) = 2.1

y^'sec(x)=6y^2,y((17pi)/2)= 1/7

y^{^{'}} sec (x) = 6 y^{2}, y (\frac{17 π}{2}) = \frac{1}{7}

y^'=-(2x^2)/(2y^2)

y^{^{'}} = - \frac{2 x ^{2}}{2 y ^{2}}

(dy)/(dx)+(sin(x))y=sin(x)

\frac{d y}{d x} + (sin (x)) y = sin (x)

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=x-k ?
The solution for (dx)/(dt)=x-k is x=e^{t+c_{1}}+k