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Popular >

(dy)/(dx)+a^2y=0

Solution

\frac{d y}{d x} + a^{2} y = 0

Solution

y = e^{- a^{2} x + c_{1}}

Solution steps

\frac{d y}{d x} + a^{2} y = 0

Solve separable ODE:

y = e^{- a^{2} x + c_{1}}

y = e^{- a^{2} x + c_{1}}

Popular Examples

(6t)/y dy+(6ln(y)+5)dt=0

\frac{6 t}{y} d y + (6 ln (y) + 5) d t = 0

y=x^{20}arctan(x)y^'

y = x^{20} arctan (x) y^{^{'}}

(t^2-26t+120)y^'=y

(t^{2} - 26 t + 120) y^{^{'}} = y

y^'=((y-2)^2)/(x^2+1)

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

(dy)/y =34yx^{16}dx

\frac{d y}{y} = 34 y x^{16} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+a^2y=0 ?
The solution for (dy)/(dx)+a^2y=0 is y=e^{-a^2x+c_{1}}