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Popular >

(dy)/(dx)+ay=0

Solution

\frac{d y}{d x} + a y = 0

Solution

y = e^{- a x + c_{1}}

Solution steps

\frac{d y}{d x} + a y (x) = 0

Solve separable ODE:

y = e^{- a x + c_{1}}

y = e^{- a x + c_{1}}

Popular Examples

limit as x approaches-2 of 3x^4+2x^2-x+1

x \to - 2 lim (3 x^{4} + 2 x^{2} - x + 1)

y^{''}-4y^'+4y=t^3,y(0)=1,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 4 y = t^{3}, y (0) = 1, y^{^{'}} (0) = 0

(dy)/(dx)=((y-x+1))/(y-x-6)

\frac{d y}{d x} = \frac{( y - x + 1 )}{y - x - 6}

y^{''''}+5y^{''}+4y=0,y(0)=0

y^{^{''''}} + 5 y^{^{''}} + 4 y = 0, y (0) = 0

y d x - 4 x d y = y^{6}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+ay=0 ?
The solution for (dy)/(dx)+ay=0 is y=e^{-ax+c_{1}}