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Popular >

(dy)/(dx)=y,y(5)=2

Solution

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

Solution

y = 2 e^{x - 5}

Solution steps

\frac{d y}{d x} = y

Solve separable ODE:

y = 2 e^{x - 5}

y = 2 e^{x - 5}

Graph

Popular Examples

y^'=xy+y,y(0)=1

y^{^{'}} = x y + y, y (0) = 1

y(dy)/(dx)=5x(y^2+5)^9,y(9)=6

y \frac{d y}{d x} = 5 x (y^{2} + 5)^{9}, y (9) = 6

(dy)/(dx)+2y=17

\frac{d y}{d x} + 2 y = 17

y^{^{'}} = 0.1 (y - 20)

derivative of x^5+y^4= derivative of 500

\frac{d}{d x} (x^{5} + y^{4}) = \frac{d}{d x} (500)

Frequently Asked Questions (FAQ)

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