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English > Maths > All > Differential Equations

Question

Level

Action

An IV administers medication to a patient's bloodstream at a rate of $$3$$ cubic centimeters per hou......

Level 1

A puppy gains weight, $${W}$$, at a rate approximately inversely proportional to its age, $${t}$$, i......

Level 1

The warming or cooling rate of a drink is proportional to the difference between the ambient tempera......

Level 1

Given that $$h^{\prime}(x)=\frac{2 h(x)}{x \ln (x)}$$. Is $${h}({x})=4 \ln ({x})$$ a solution to th......

Level 1

Given that $$y^{\prime}=0.5(100-y)$$. Is $${y}=5 e^{-0.5 x}+100$$ a solution to the above equation?......

Level 1

Given that $$\frac{d y}{d x}=x+4 y-2$$, Is $$y=-\frac{x}{4}+\frac{3}{4}$$ a , a solution to the abov......

Level 1

Baylee tried to solve the differential equation $$\frac{d y}{d x}=\frac{e^{x}}{y^{2}}$$.
This is he......

Level 1

Marcus tried to solve the differential equation $$\frac{d y}{d x}=\frac{1}{3 x^{2} y^{2}}$$. This is......

Level 1

Jaxton tried to solve the differential equation $$\frac{d y}{d x}=(\frac{\sec (x)}{y})^{2}$$
This i......

Level 1

Can this differential equation be solved using separation of variables?
$$\frac{d y}{d x}=\sin (3 x......

Level 1

If $$f^{\prime}(x)=9 e^{x}$$, and $$f(8)=-8+9 e^{8}$$, find $$f(0)$$......

Level 1

If $$\frac{d y}{d t}=3 t$$ and $$y(2)=3$$, what is $$t$$ when $$y=6$$ ? ......

Level 1

If $$\frac{d y}{d x}=\frac{3 x^{2}}{y^{2}}$$, Which curve solves the differential equation and passe......

Level 1

If $$f^{\prime}(x)=f(x)$$ and $$f(3)=e^{2}$$,then $$f(4)=m e^{n}$$ for some integers $$m$$ and $$n$......

Level 1

The number of barrels of oil a certain company exports annually increases at a rate that is proporti......

Level 1

A particle moves along a straight line. Its speed is inversely proportional to the square of the di......

Level 1

Given that $$\frac{d y}{d x}=y(2 x-5)$$, Is $$y=-e^{x^{2}-5 x}$$ a solution to the above equation?......

Level 1