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Popular >

(dx)/(dt)+x=3e^t

Solution

\frac{d x}{d t} + x = 3 e^{t}

Solution

x = \frac{3 e ^{t}}{2} + \frac{c _{1}}{e ^{t}}

Solution steps

\frac{d x}{d t} + x = 3 e^{t}

Solve linear ODE:

x = \frac{3 e ^{t}}{2} + \frac{c _{1}}{e ^{t}}

x = \frac{3 e ^{t}}{2} + \frac{c _{1}}{e ^{t}}

Graph

Popular Examples

y^{^{'}} - y = e^{3 x}

derivative of f(x)=11x^4cot(x)derivative of

f (x) = 11 x^{4} cot (x)

derivative of x(5x+1^{1/3})

\frac{d}{d x} (x (5 x + 1)^{\frac{1}{3}})

area 1/x ,1,4 area

\frac{1}{x}, 1, 4

tangent of y=(5x)/(1+x^2)tangent of

y = \frac{5 x}{1 + x ^{2}}

Frequently Asked Questions (FAQ)

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