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Popular >

y^'=2y-3

Solution

y^{^{'}} = 2 y - 3

Solution

y = \frac{e ^{2 t + c_{1}}}{2} + \frac{3}{2}

Solution steps

y^{'} (t) = 2 y - 3

Solve separable ODE:

y = \frac{e ^{2 t + c_{1}}}{2} + \frac{3}{2}

y = \frac{e ^{2 t + c_{1}}}{2} + \frac{3}{2}

Popular Examples

(dy)/(dx)=(y+2xy)/(x^2)

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

(1-y)e^yy^'+(y^2)/(xln(x))=0

(1 - y) e^{y} y^{^{'}} + \frac{y ^{2}}{x ln ( x )} = 0

2sqrt(x)(dy)/(dx)=cos^2(y),y(0)=2

2 x \frac{d y}{d x} = cos^{2} (y), y (0) = 2

(dy)/(dx)=e^{5x-5y}

\frac{d y}{d x} = e^{5 x - 5 y}

y^{^{'}} = x + 2 x y

Frequently Asked Questions (FAQ)

What is the solution for y^'=2y-3 ?
The solution for y^'=2y-3 is y=(e^{2t+c_{1}})/2+3/2