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Popular >

(dx)/(dt)=3x+4

Solution

\frac{d x}{d t} = 3 x + 4

Solution

x = \frac{e ^{3 t + c_{1}}}{3} - \frac{4}{3}

Solution steps

\frac{d x}{d t} = 3 x + 4

Solve separable ODE:

x = \frac{e ^{3 t + c_{1}}}{3} - \frac{4}{3}

x = \frac{e ^{3 t + c_{1}}}{3} - \frac{4}{3}

Popular Examples

derivative of x^2+y^2=0

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

(8+x)y^'=(x+9)(y-8)

(8 + x) y^{^{'}} = (x + 9) (y - 8)

y^2dx-xydy=x^2ydy,y(1)=1

y^{2} d x - x y d y = x^{2} y d y, y (1) = 1

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

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

(dy)/(dx)5x+7y+6=0

\frac{d y}{d x} 5 x + 7 y + 6 = 0

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=3x+4 ?
The solution for (dx)/(dt)=3x+4 is x=(e^{3t+c_{1}})/3-4/3