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Popular >

y^'=5y

Solution

y^{^{'}} = 5 y

Solution

y = e^{5 t + c_{1}}

Solution steps

y^{'} (t) = 5 y

Solve separable ODE:

y = e^{5 t + c_{1}}

y = e^{5 t + c_{1}}

Popular Examples

derivative of arctan(sqrt(x/(1-x)))

\frac{d}{d x} (arctan (\frac{x}{1 - x}))

limit as z approaches 0 of (2z-8)^{1/3}

z \to 0 lim ((2 z - 8)^{\frac{1}{3}})

derivative of 2/3 (1-x^{3/2})

\frac{d}{d x} (\frac{2}{3} (1 - x)^{\frac{3}{2}})

y^'=-2xtan(y),y(0)= pi/2

y^{^{'}} = - 2 x tan (y), y (0) = \frac{π}{2}

integral of ((x+3)^2)/(x+2)

\int \frac{( x + 3 ) ^{2}}{x + 2} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=5y ?
The solution for y^'=5y is y=e^{5t+c_{1}}