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Differential Equations Calculus Maths Problems and Solutions
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Question
Level
Action
If $$g^{\prime}(x)=-2 g(x) $$ and $$g(0)=5$$. Solve the equation.......
Level 1
If $$f^{\prime}(x)=\frac{100}{x^{3}}$$, and $$f(5)=-14$$, find $$f(1)$$......
Level 1
If $$f^{\prime}(x)=-10 x^{4}+8 x^{3}$$, and $$f(1)=9$$, find $$f(0)$$......
Level 1
If $$f^{\prime}(x)=-\frac{4}{x^{2}}$$, and $$f(2)=4$$, find $$f(1).$$......
Level 1
Can this differential equation be solved using separation of variables?
$$\frac{d y}{d x}=\frac{\si......
Level 1
Can this differential equation be solved using separation of variables?
$$\frac{d y}{d x}=\frac{3}{......
Level 1
Can this differential equation be solved using separation of variables?
$$\frac{d y}{d x}=(7-3 x) ......
Level 1
Solve the equation $$\frac{d y}{d x}=\frac{x^{2}}{9}+\frac{7}{9}$$
......
Level 1
Anastasia tried to solve the differential equation $$\frac{d y}{d x}=y^{2} \sin (x)$$. This is her w......
Level 1
Given that $$\frac{d y}{d x}=y(2 x-5)$$, Is $$y=-e^{x^{2}-5 x}$$ a solution to the above equation?......
Level 1
A particle moves along a straight line. Its speed is inversely proportional to the square of the di......
Level 1
An IV administers medication to a patient's bloodstream at a rate of $$3$$ cubic centimeters per hou......
Level 1
The number of barrels of oil a certain company exports annually increases at a rate that is proporti......
Level 1
Jaxton tried to solve the differential equation $$\frac{d y}{d x}=(\frac{\sec (x)}{y})^{2}$$
This i......
Level 1
A puppy gains weight, $${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