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Popular >

y^'=cy

Solution

y^{^{'}} = cy

Solution

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

Solution steps

y^{'} (t) = cy (t)

Solve separable ODE:

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

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

Popular Examples

(dy)/(dx)=(sin(x))/(4y),y(0)=-8

\frac{d y}{d x} = \frac{sin ( x )}{4 y}, y (0) = - 8

(dy)/(dx)+y=2,y(0)=1

\frac{d y}{d x} + y = 2, y (0) = 1

y^{^{'}} = y^{3} (x^{3} - x)

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

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

(dy)/(dx)y=e^xsqrt(x^2+1)

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

Frequently Asked Questions (FAQ)

What is the solution for y^'=cy ?
The solution for y^'=cy is y=e^{ct+c_{1}}