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Popular >

(dy)/(dt)=2k(y+2)

Solution

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

Solution

y = e^{2 k t + c_{1}} - 2

Solution steps

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

Solve separable ODE:

y = e^{2 k t + c_{1}} - 2

y = e^{2 k t + c_{1}} - 2

Graph

Popular Examples

3y^2(dy)/(dx)-tan(x)=0,y=2,x=0

3 y^{2} \frac{d y}{d x} - tan (x) = 0, y = 2, x = 0

y^'=(8sin(x))/(sin(y)),y(0)= pi/2

y^{^{'}} = \frac{8 sin ( x )}{sin ( y )}, y (0) = \frac{π}{2}

(dr)/(dq)=(50-4q)e^{r/5}

\frac{d r}{d q} = (50 - 4 q) e^{\frac{r}{5}}

y^{^{'}} = 10 x^{2} y

(dy)/(dx)=7y^2x^3,y(2)=3

\frac{d y}{d x} = 7 y^{2} x^{3}, y (2) = 3

Frequently Asked Questions (FAQ)

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