 Recent questions in Differential equations meplasemamiuk 2021-11-11 Answered

### Find the general solution of the given differential equation. $$\displaystyle{y}^{{{\left({6}\right)}}}-{y}{''}={0}$$ jernplate8 2021-11-10 Answered

### Write the formula for the derivative of the function. $$\displaystyle{f{{\left({x}\right)}}}={12}{x}^{{{4}}}+{19}{x}^{{{3}}}+{9}$$ f'(x)= Emily-Jane Bray 2021-11-09 Answered

### Write the formula for the derivative of the function. $$\displaystyle{g{{\left({x}\right)}}}=-{3.1}{x}^{{{3}}}+{6.1}{x}-{6.6}$$ g'(x)= ankarskogC 2021-11-05 Answered

### Find the general solution for the following differential equation. $$\displaystyle{\frac{{{d}^{{{3}}}{y}}}{{{\left.{d}{x}\right.}^{{{3}}}}}}-{\frac{{{d}^{{{2}}}{y}}}{{{\left.{d}{x}\right.}^{{{2}}}}}}-{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}+{y}={x}+{e}^{{-{x}}}$$. Tahmid Knox 2021-10-23 Answered

### Show that any separable equation $$\displaystyle{M}{\left({x},{y}\right)}+{N}{\left({x},{y}\right)}{y}'={0}$$ facas9 2021-10-21 Answered

### Find the solution of the given initial value problem. $$\displaystyle{y}'−{2}{y}={e}{2}{t},{y}{\left({0}\right)}={2}$$ slaggingV 2021-10-21 Answered

### Find the differntial of each function. a) $$\displaystyle{y}={\tan{\sqrt{{{7}{t}}}}}$$ b) $$\displaystyle{y}={\frac{{{3}-{v}^{{2}}}}{{{3}+{v}^{{2}}}}}$$ Marvin Mccormick 2021-10-21 Answered

### Differentiate. $$\displaystyle{H}{\left({u}\right)}={\left({u}-\sqrt{{{u}}}\right)}{\left({u}+\sqrt{{{u}}}\right)}$$ tabita57i 2021-10-19 Answered

### Find $$\displaystyle{\frac{{{\left.{d}{z}\right.}}}{{{\left.{d}{x}\right.}}}}$$ and $$\displaystyle{\frac{{{\left.{d}{z}\right.}}}{{{\left.{d}{y}\right.}}}}$$. $$\displaystyle{z}={\frac{{{x}{y}}}{{{x}^{{2}}+{y}^{{2}}}}}$$ FizeauV 2021-10-18 Answered

### Find the general solution of the given differential equation.y” + 2y' + y = 2e−t illusiia 2021-10-17 Answered

### Find r(t) if $$\displaystyle{r}'{\left({t}\right)}={t}{i}+{e}^{{t}}{j}+{t}{e}^{{k}}$$ and $$\displaystyle{r}{\left({0}\right)}={i}+{j}+{k}$$ ediculeN 2021-10-17 Answered

### A part icle moves along the curve $$\displaystyle{y}={2}{\sin{{\left(\pi\frac{{x}}{{2}}\right)}}}$$. As the particle passes through the point $$\displaystyle{\left(\frac{{1}}{{3}},{1}\right)}$$ its x-coordinate increases at a rate of $$\displaystyle\sqrt{{{10}}}$$ cm/s. How fast is the distance from the particle to the origin changing at this instant? cistG 2021-10-15 Answered

### A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock? FobelloE 2021-10-14 Answered

### Determine whether the given differential equation is exact. If it is exact, solve it. $$\displaystyle{\left({x}-{y}^{{3}}+{y}^{{2}}{\sin{{x}}}\right)}{\left.{d}{x}\right.}={\left({3}{x}{y}^{{2}}+{2}{y}{\cos{{x}}}\right)}{\left.{d}{y}\right.}$$ Anonym 2021-10-12 Answered

### Solve the given differential equation by separation of variables. $$\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={\left({x}+{1}\right)}^{{{2}}}$$ Nannie Mack 2021-10-12 Answered

### Solve the initial value problem for r as a vector function of t. Differential equation: $$\displaystyle{\frac{{{d}{r}}}{{{\left.{d}{t}\right.}}}}=-{t}{i}-{t}{j}-{t}{k}$$ Initial condition: r(0)=i+2j+3k Caelan 2021-10-09 Answered

### Use implicit differentiation to find an equation of the tangent line to the curve at the given point. $$\displaystyle{y}{\sin{{\left({12}{x}\right)}}}={x}{\cos{{\left({2}{y}\right)}}},{\left(\frac{\pi}{{2}},\frac{\pi}{{4}}\right)}$$ Harlen Pritchard 2021-10-09 Answered

### Use implicit differentiation to find $$\displaystyle{\frac{{{\left.{d}{z}\right.}}}{{{\left.{d}{x}\right.}}}}$$ and $$\displaystyle{\frac{{{\left.{d}{z}\right.}}}{{{\left.{d}{y}\right.}}}}$$ $$\displaystyle{e}^{{z}}={x}{y}{z}$$ opatovaL 2021-10-08 Answered

### Solve the given differential equation by separation of variables. $$\displaystyle{\frac{{{d}{P}}}{{{\left.{d}{t}\right.}}}}={P}-{P}^{{2}}$$ necessaryh 2021-10-05 Answered

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