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Popular >

(dr)/(dt)=0.1872*r

Solution

\frac{d r}{d t} = 0.1872 \cdot r

Solution

r = e^{0.1872 t + c_{1}}

Solution steps

\frac{d r}{d t} = 0.1872 \cdot r

Solve separable ODE:

r = e^{0.1872 t + c_{1}}

r = e^{0.1872 t + c_{1}}

Popular Examples

(sqrt(1+x^2))/(1+y)(dy)/(dx)=-x

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

y^'=(x^2-4)(3y+2)

y^{^{'}} = (x^{2} - 4) (3 y + 2)

(x^2+2x-1)(dy)/(dx)-(x+1)y=x+1

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

y^{^{'}} = 0.1 y^{2}

f^'(x)=1+(f(x))^2

f^{^{'}} (x) = 1 + (f (x))^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dr)/(dt)=0.1872*r ?
The solution for (dr)/(dt)=0.1872*r is r=e^{0.1872t+c_{1}}