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Popular >

(dy)/(dt)-y=1

Solution

\frac{d y}{d t} - y = 1

Solution

y = e^{t + c_{1}} - 1

Solution steps

\frac{d y}{d t} - y = 1

Solve separable ODE:

y = e^{t + c_{1}} - 1

y = e^{t + c_{1}} - 1

Popular Examples

derivative of e^{2x}ln(3x)

\frac{d}{d x} (e^{2 x} ln (3 x))

derivative of x^3+4x^2+2

\frac{d}{d x} (x^{3} + 4 x^{2} + 2)

derivative of x^5-4x^3

\frac{d}{d x} (x^{5} - 4 x^{3})

(d^2)/(dx^2)(19e^{x^2})

\frac{d ^{2}}{d x ^{2}} (19 e^{x^{2}})

(dy)/(dx)=5(y-2)^{3/5}

\frac{d y}{d x} = 5 (y - 2)^{\frac{3}{5}}

Frequently Asked Questions (FAQ)

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