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Popular >

y^'=y,y(0)=6

Solution

y^{^{'}} = y, y (0) = 6

Solution

y = 6 e^{t}

Solution steps

y^{'} (t) = y

Solve separable ODE:

y = 6 e^{t}

y = 6 e^{t}

Popular Examples

y^'=0.6y(1-y/(1120))

y^{^{'}} = 0.6 y (1 - \frac{y}{1120})

f(x)x+xf^'(x)x+x^2f(x)x=0

f (x) x + x f^{^{'}} (x) x + x^{2} f (x) x = 0

(dy)/(dx)=20sqrt(xy)

\frac{d y}{d x} = 20 x y

(dy)/(dx)+y=((1+y^2))/(2y)

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

(dy)/(dx)=((x-8))/(64y-384)

\frac{d y}{d x} = \frac{( x - 8 )}{64 y - 384}

Frequently Asked Questions (FAQ)

What is the solution for y^'=y,y(0)=6 ?
The solution for y^'=y,y(0)=6 is y=6e^t