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Popular Calculus >

(dy)/(dt)=y-t

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Graph

Popular Examples

tangent of y=x^4+4x^2-x

t an g e n t y = x^{4} + 4 x^{2} - x

derivative of ln(x-8)

\frac{d}{d x} (ln (x - 8))

integral of (cos(x))/(sin^2(x)-9)

\int \frac{cos ( x )}{sin ^{2} ( x ) - 9} d x

integral of (sqrt(x))/(1+x^{3/2)}

\int \frac{x}{1 + x ^{\frac{3}{2}}} d x

(\partial)/(\partial x)(cos(x^2+y^2-z))

\frac{\partial}{\partial x} (cos (x^{2} + y^{2} - z))

Frequently Asked Questions (FAQ)

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