What is the solution for 1*(dy)/(dx)=5y,y(0)=2 ?

The solution for 1*(dy)/(dx)=5y,y(0)=2 is y=2e^{5x}

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1*(dy)/(dx)=5y,y(0)=2

1 \cdot \frac{d y}{d x} = 5 y, y (0) = 2

y = 2 e^{5 x}

Solution steps

1 \cdot \frac{d y}{d x} = 5 y

Solve separable ODE:

y = 2 e^{5 x}

y = 2 e^{5 x}

cos (y) \frac{d y}{d x} = x^{2} csc^{2} (y)

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

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

y^{^{'}} = 11 - y

\frac{d y}{d x} = 3 x y^{2}, y (1) = 2

What is the solution for 1*(dy)/(dx)=5y,y(0)=2 ?
The solution for 1*(dy)/(dx)=5y,y(0)=2 is y=2e^{5x}