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Popular >

y^'=7y-2

Solution

y^{^{'}} = 7 y - 2

Solution

y = \frac{e ^{7 t + c_{1}}}{7} + \frac{2}{7}

Solution steps

y^{'} (t) = 7 y - 2

Solve separable ODE:

y = \frac{e ^{7 t + c_{1}}}{7} + \frac{2}{7}

y = \frac{e ^{7 t + c_{1}}}{7} + \frac{2}{7}

Popular Examples

y^'(x)=(15+3x^2)/(3y^2-12y),y(0)=2

y^{^{'}} (x) = \frac{15 + 3 x ^{2}}{3 y ^{2} - 12 y}, y (0) = 2

y^{^{'}} - 2 t y = 0

sin(y)cos(x)dy=cos(y)sin(x)dx

sin (y) cos (x) d y = cos (y) sin (x) d x

(dy)/(dx)= 1/5 sqrt(y)cos^2(sqrt(y))

\frac{d y}{d x} = \frac{1}{5} y cos^{2} (y)

(dp)/(dx)=k(a-p)

\frac{d p}{d x} = k (a - p)

Frequently Asked Questions (FAQ)

What is the solution for y^'=7y-2 ?
The solution for y^'=7y-2 is y=(e^{7t+c_{1}})/7+2/7