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Popular >

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

Solution

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

Solution

y = 2 e^{5 x - 10}

Solution steps

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

Solve separable ODE:

y = 2 e^{5 x - 10}

y = 2 e^{5 x - 10}

Popular Examples

3y^2(dy)/(dx)=4x^3

3 y^{2} \frac{d y}{d x} = 4 x^{3}

y^{^{'}} + a b^{2} y = 0

(dy)/(dx)=((3x^2-e^x))/(2y-5),y(0)=1

\frac{d y}{d x} = \frac{( 3 x ^{2} - e ^{x} )}{2 y - 5}, y (0) = 1

(dy)/(dx)=10-y/(50)

\frac{d y}{d x} = 10 - \frac{y}{50}

(dy)/(dx)=5x^4y^2

\frac{d y}{d x} = 5 x^{4} y^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=5y,y(2)=2 ?
The solution for (dy)/(dx)=5y,y(2)=2 is y=2e^{5x-10}