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- Differential equations with separable variables Step-by-Step
- A simplest differential equations of 1-order Step-by-Step
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How to use it?
- Differential equation:
- Equation e^y*dy=(x+sin(2x))dx
- Equation xy'''+y''=x+1
- Equation tgy*y'=ctgx
- Equation ydx+x^2dy=0
- Integral of d{x}:
- ctgx
- Derivative of:
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ctgx
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Identical expressions
- tgy*y'=ctgx
- tgy multiply by y stroke first (1st) order equally ctgx
- tgyy'=ctgx
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Similar expressions
- tgyy''=(y')^2
- ydx+ctg(x)dy=0
- (sin^2+xctgy)y'=1
- (tg(y))*y'=ctg(x)
- y`+2ctg(x)*y=1/sin(x)
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Expressions with functions
- tgy
- tgy*y'=ctgx
- tgyy''=(y')^2
- tgy*y’=xlnx
- tgydy
- tgy*y''=(y')^2
- ctgx
- ctgx*cos^2y*dx+sin^2x*tgy*dy=0
- ctgxdy=(1+y)dx
- ctgxdy=tgydx
- ctgx*y'=y-2
- ctgx*cos^2ydx=sin^2x*ctgydy
Differential equation tgy*y'=ctgx
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The solution
You have entered
[src]
d --(y(x))*tan(y(x)) = cot(x) dx
$$\tan{\left(y{\left(x \right)} \right)} \frac{d}{d x} y{\left(x \right)} = \cot{\left(x \right)}$$
tan(y)*y' = cot(x)
The answer
[src]
/ C1 \
y(x) = - acos|------| + 2*pi
\sin(x)/
$$y{\left(x \right)} = - \operatorname{acos}{\left(\frac{C_{1}}{\sin{\left(x \right)}} \right)} + 2 \pi$$
/ C1 \
y(x) = acos|------|
\sin(x)/
$$y{\left(x \right)} = \operatorname{acos}{\left(\frac{C_{1}}{\sin{\left(x \right)}} \right)}$$
Graph of the Cauchy problem
The classification
separable
1st exact
lie group
separable Integral
1st exact Integral
Numerical answer
[src]
(x, y):
(-10.0, 0.75)
(-7.777777777777778, -9.53318197297792e-10)
(-5.555555555555555, 2.17e-322)
(-3.333333333333333, nan)
(-1.1111111111111107, 2.78363573e-315)
(1.1111111111111107, 6.971028255580836e+173)
(3.333333333333334, 3.1933833808213398e-248)
(5.555555555555557, 1.8642114079304264e+160)
(7.777777777777779, 8.38824356735529e+296)
(10.0, 1.202657649977811e-153)
(10.0, 1.202657649977811e-153)