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Differensial teńleme
.
Differensial
ten'lemelerdin' ko'rinisleri
d
u
d
x
=
c
u
+
x
2
.
{\displaystyle {\frac {du}{dx}=cu+x^{2}.}
d
2
u
d
x
2
−
x
d
u
d
x
+
u
=
0.
{\displaystyle {\frac {d^{2}u}{dx^{2}-x{\frac {du}{dx}+u=0.}
d
2
u
d
x
2
+
ω
2
u
=
0.
{\displaystyle {\frac {d^{2}u}{dx^{2}+\omega ^{2}u=0.}
d
u
d
x
=
u
2
+
1.
{\displaystyle {\frac {du}{dx}=u^{2}+1.}
L
d
2
u
d
x
2
+
g
sin
u
=
0.
{\displaystyle L{\frac {d^{2}u}{dx^{2}+g\sin u=0.}
∂
u
∂
t
+
t
∂
u
∂
x
=
0.
{\displaystyle {\frac {\partial u}{\partial t}+t{\frac {\partial u}{\partial x}=0.}
∂
2
u
∂
x
2
+
∂
2
u
∂
y
2
=
0.
{\displaystyle {\frac {\partial ^{2}u}{\partial x^{2}+{\frac {\partial ^{2}u}{\partial y^{2}=0.}
∂
u
∂
t
=
6
u
∂
u
∂
x
−
∂
3
u
∂
x
3
.
{\displaystyle {\frac {\partial u}{\partial t}=6u{\frac {\partial u}{\partial x}-{\frac {\partial ^{3}u}{\partial x^{3}.}