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Popular >

(dy)/(dt)=3+2y

Solution

\frac{d y}{d t} = 3 + 2 y

Solution

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

Solution steps

\frac{d y}{d t} = 3 + 2 y

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

tangent of y=x^3-3x-4 tangent of

y = x^{3} - 3 x - 4

(dy)/(dx)=(2x(y-1))/(x^2+3),y(1)=9

\frac{d y}{d x} = \frac{2 x ( y - 1 )}{x ^{2} + 3}, y (1) = 9

integral of x/((x^2+1)^4)

\int \frac{x}{( x ^{2} + 1 ) ^{4}} d x

laplacetransform 2t*cos(t)laplace transform

2 t \cdot cos (t)

integral of 3tcos(2t)

\int 3 t cos (2 t) d t

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=3+2y ?
The solution for (dy)/(dt)=3+2y is y=(e^{2t+c_{1}})/2-3/2