What is the solution for (dy)/(dx)=-k(y-70),y(0)=205 ?

The solution for (dy)/(dx)=-k(y-70),y(0)=205 is y=135e^{-kx}+70

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(dy)/(dx)=-k(y-70),y(0)=205

\frac{d y}{d x} = - k (y - 70), y (0) = 205

y = 135 e^{- k x} + 70

Solution steps

\frac{d y}{d x} = - k (y - 70)

Solve separable ODE:

y = 135 e^{- k x} + 70

y = 135 e^{- k x} + 70

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

\frac{d h}{d t} = 2 h

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

\frac{d y}{d x} = \frac{5 x ^{8}}{y ^{2}}, y (0) = 3

\frac{d y}{d x} = 90 y x^{14}

What is the solution for (dy)/(dx)=-k(y-70),y(0)=205 ?
The solution for (dy)/(dx)=-k(y-70),y(0)=205 is y=135e^{-kx}+70